Publications of Jonathan Partington

Publications of Jonathan R. Partington

BOOKS

Modern approaches to the invariant subspace problem, by Isabelle Chalendar and Jonathan R. Partington (2011), is published by Cambridge University Press.     Errata (PDF)

Linear Operators and Linear Systems (2004) is published by Cambridge University Press.     Errata (PDF).

Interpolation, Identification and Sampling (1997) is published by Oxford University Press.

An introduction to Hankel operators (1989) is published by Cambridge University Press.

Harmonic analysis and rational approximation: their roles in signals, control and dynamical systems theory (2006), edited by J.-D. Fournier, J. Grimm, J. Leblond and J.R. Partington, is published by Springer-Verlag. It includes my "Fourier transforms and complex analysis", pp. 39-55, and "Good bases", pp. 95-102.

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The rest of this page contains a list of my papers and preprints, excluding conference papers for which a journal version exists. Recent ones are mostly on arXiv and the White Rose depository. For incomplete lists of those published, try MathSciNet or MR lookup or Zentralblatt lookup or Web of Knowledge or Google Scholar.

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I. Chalendar and J.R. Partington, Phase retrieval on circles and lines, preprint, 2024. arXiv version.

I. Chalendar, L. Oger and J.R. Partington, Linear isometries of Hol(𝔻), preprint, 2024. arXiv version.

Y. Liang and J.R. Partington, Cyclic nearly invariant subspaces for semigroups of isometries, preprint, 2023. arXiv version.

M.C. Câmara and J.R. Partington, Paired kernels and their applications, Results Math., 79 (2024), no. 3, Paper No. 120. arXiv version.

E.A. Gallardo-Gutiérrez, J.R. Partington and W.T. Ross, Invariant subspaces of the Cesàro operator, preprint, 2023. arXiv version.

M.C. Câmara, A. Guimarães and J.R. Partington, Paired operators and paired kernels, Proc. 28th International Conference on Operator Theory (Timisoara), accepted. arXiv version.

I. Chalendar and J.R. Partington, Boundedness and compactness of weighted composition operators and monomial operators, Arch. Math. (Basel), 121 (2023), no. 5-6, 707-714. arXiv version.

R. Kapica, J.R. Partington and R. Zawiski, Admissibility of retarded diagonal systems with one-dimensional input space, Math. Control, Signals and Systems, 35 (2023), no. 2, 433-465. arXiv version.

E.A. Gallardo-Gutiérrez and J.R. Partington, Insights on the Cesàro operator: shift semigroups and invariant subspaces, Journal d'Analyse Math., accepted. arXiv version.

I. Chalendar and J.R. Partington, Composition operators on function spaces on the halfplane: spectra and semigroups, Complex Anal. Oper. Theory 17 (2023), no. 4, Paper No. 44. Reprinted in Multivariable operator theory - the Jörg Eschmeier memorial volume, 229-242, Birkhäuser/Springer, Cham, 2023. arXiv version.

I. Chalendar and J.R. Partington, Semigroups of weighted composition operators on spaces of holomorphic functions, Lectures on Analytic Functions Spaces and their Applications, 255-281, Fields Inst. Monogr., 39, Springer, Cham, 2023. arXiv version.

B. Jacob, J.R. Partington, S. Pott, E. Rydhe and F. Schwenninger, Laplace-Carleson embeddings and infinity-norm admissibility, preprint, 2021, revised 2023. arXiv version.

I. Chalendar and J.R. Partington, Weighted composition operators on the Fock space: iteration and semigroups, Acta Sci. Math. (Szeged), 89 (2023), 93-108. arXiv version.

E.A. Gallardo-Gutiérrez and J.R. Partington, Multiplication by a finite Blaschke product on weighted Bergman spaces: commutant and reducing subspaces, J. Math. Anal. and Appl., 515 (2022), 126383. arXiv version.

M.C. Câmara, R. O'Loughlin and J.R. Partington, Dual-band general Toeplitz operators, Mediterranean Journal of Mathematics, 19 (2022), 175. arXiv version.

Y. Liang and J.R. Partington, Nearly invariant subspaces for shift semigroups, Science China Mathematics, 65 (2022), no. 9, 1895-1908. arXiv version.

A.E. Alajyan and J.R. Partington, Weighted operator-valued function spaces applied to the stability of delay systems, Operators and Matrices, 15 (2021), 1257-1266. arXiv version.

M.C. Câmara, M.T. Malheiro and J.R. Partington, Kernels of unbounded Toeplitz operators and factorization of symbols, Results Math., 76 (2021), paper no. 10. arXiv version.

Y. Liang and J.R. Partington, Nearly invariant subspaces for operators in Hilbert spaces, Complex Analysis and Operator Theory, 15 (2021), no. 1, paper no. 5. arXiv version.

C. Bonnet and J.R. Partington, L₂ and BIBO stability of systems with variable delays, Systems and Control Letters, 139 (2020), 104671. arXiv version.

Y. Liang and J.R. Partington, Representing kernels of perturbations of Toeplitz operators by backward shift-invariant subspaces, Integral Equations and Operator Theory, 92 (2020), no. 4, paper no. 35. arXiv version.

B. Jacob, A. Mironchenko, J.R. Partington and F. Wirth, Noncoercive Lyapunov functions for input-to-state stability of infinite-dimensional systems, SIAM J. Control. Optim., 58 (2020), no. 5, 2952-2978. Corrigendum, SIAM J. Control Optim., 61 (2023), no. 2, 723-724. Corrected arXiv version.

I. Chalendar and J.R. Partington, Weighted composition operators: isometries and asymptotic behaviour, J. Operator Theory, 86 (2021), no. 1, 189-201. arXiv version.

E.A. Gallardo-Gutiérrez, J.R. Partington and D. Seco, On the wandering property in Dirichlet spaces, Integral Equations and Operator Theory, 92 (2020), no. 2, paper no. 16. arXiv version.

I. Chalendar and J.R. Partington, The reproducing kernel thesis for lower bounds of weighted composition operators, Archiv der Mathematik, 113 (2019), 179-187.

J.R. Partington, S. Pott and R. Zawiski, Laplace-Carleson embeddings on model spaces and boundedness of truncated Hankel and Toeplitz operators, Integral Equations and Operator Theory, 92 (2020), no. 4, paper no. 37. arXiv version.

M.C. Câmara and J.R. Partington, Scalar-type kernels for block Toeplitz operators, J. Math. Anal. and Appl., 489 (2020), 124111. arXiv version.

J.R. Partington and R. Zawiski, Admissibility of diagonal state-delayed systems with a one-dimensional input space, Complex Analysis and Operator Theory, 13 (2019), 2463-2485.

B. Célariès, I. Chalendar, and J.R. Partington, Universality and models for semigroups of operators on a Hilbert space, J. Operator Theory, 82 (2019), 173-188. arXiv version.

B. Jacob, A. Mironchenko, J.R. Partington and F. Wirth, Remarks on input-to-state stability and non-coercive Lyapunov functions, 57th IEEE Conference on Decision and Control, Miami Beach, 2018.

P. Gorkin and J.R. Partington, Norms of truncated Toeplitz operators and numerical radii of restricted shifts, Computational Methods and Function theory, 19 (2019), no. 3, 487-508. arXiv version.

M.C. Câmara and J.R. Partington, Toeplitz kernels and model spaces, in The Diversity and Beauty of Applied Operator Theory, Ed. A. Böttcher, D. Potts, P. Stollmann and D. Wenzel, Operator Theory: Advances and Applications, Vol. 268, Birkhäuser (2018), 139-153. arXiv version.

I. Chalendar, J. Esterle and J.R. Partington, Estimates near the origin for functional calculus on analytic semigroups, Journal of Functional Analysis, 275 (2018), 698-711.

M.C. Câmara and J.R. Partington, Multipliers and equivalences between Toeplitz kernels, J. Math. Anal. and Appl., 465 (2018), 557-570.

I. Chalendar, E.A. Gallardo-Gutiérrez and J.R. Partington, A Beurling theorem for almost-invariant subspaces of the shift operator, J. Operator Theory, 83 (2020), 321-331.

I. Chalendar, P. Gorkin, J.R. Partington and W.T. Ross, Clark measures and a theorem of Ritt, Mathematica Scandinavica, 122 (2018), 277-298.

B. Jacob, R. Nabiullin, J.R. Partington and F. Schwenninger, Infinite-dimensional input-to-state stability and Orlicz spaces, SIAM J. Control Optim., 56 (2018), no. 2, 868-889.

A. Bashar Abusaksaka and J.R. Partington, Diffusive systems and weighted Hankel operators, Operators and Matrices, 11 (2017), no. 1, 125-132. arXiv version.

B. Jacob, R. Nabiullin, J. Partington and F. Schwenninger, On input-to-state-stability and integral input-to-state-stability for parabolic boundary control systems, 55th IEEE Conference on Decision and Control, Las Vegas, 2016.

I. Chalendar and J.R. Partington, Compactness, differentiability and similarity to isometry of composition semigroups, Problems and Recent Methods in Operator Theory, Ed. F. Botelho, R. King, and T.S.S.R.K. Rao, Contemporary Mathematics 687, Amer. Math. Soc., 2017, 67-73.

E.A. Gallardo-Gutiérrez and J.R. Partington, C₀-semigroups of 2-isometries and Dirichlet spaces, Revista Matemática Iberoamericana, 34 (2018), no. 3, 1415-1425.

I. Chalendar and J.R. Partington, Compactness and norm estimates for weighted composition operators on spaces of holomorphic functions, Harmonic Analysis, Function Theory, Operator Theory and their Applications, Ed. P. Jaming, A. Hartmann, K. Kellay, S. Kupin, G. Pisier and D. Timotin, Theta, 2017, 81-89.

B. Jacob, J.R. Partington, S. Pott and A. Wynn. β-admissibility of observation and control operators for hypercontractive semigroups, J. Evolution Equations, 18 (2018), no. 1, 153-170.

I. Chalendar and J.R. Partington, A class of quasicontractive semigroups acting on Hardy and weighted Hardy spaces, Semigroup Forum, 95 (2017), 281-292.

M.C. Câmara and J.R. Partington, Spectral properties of truncated Toeplitz operators by equivalence after extension, J. Math. Anal. and Appl., 433 (2016), 762-784.

C. Avicou, I. Chalendar and J.R. Partington, Analyticity and compactness of semigroups of composition operators, J. Math. Anal. and Appl., 437 (2016), 545-560.

E.A. Gallardo-Gutiérrez, J.R. Partington and D.J. Rodríguez, A continuous model for quasinilpotent operators, Math. Zeitschrift, 284 (2016), 781-790.

M.C. Câmara and J.R. Partington, Asymmetric truncated Toeplitz operators and Toeplitz operators with matrix symbol, J. Operator Theory, 77 (2017), 455-479.

I. Chalendar, P. Gorkin and J.R. Partington, Inner functions and operator theory, North-Western Euro. J. Math. 1 (2015), 7-22.

C. Avicou, I. Chalendar and J.R. Partington, A class of quasicontractive semigroups acting on Hardy and Dirichlet space, J. Evolution Equations, 15 (2015), 647-665.

E.A. Gallardo-Gutiérrez, J.R. Partington and D.J. Rodríguez, An extension of a theorem of Domar on invariant subspaces, Acta Sci. Math. (Szeged), 83 (2017), 271-290.

I. Chalendar, E.A. Gallardo-Gutiérrez and J.R. Partington, Weighted composition operators on the Dirichlet space: boundedness and spectral properties, Math. Annalen, 363 (2015), 1265-1279.

M.C. Câmara and J.R. Partington, Finite-dimensional Toeplitz kernels and nearly-invariant subspaces, J. Operator Theory, 75 (2016), no. 1, 75-90.

M.C. Câmara, M.T. Malheiro and J.R. Partington, Model spaces and Toeplitz kernels in reflexive Hardy spaces, Operators and Matrices, 10 (2016), no. 1, 127-148.

I. Chalendar, J. Esterle and J.R. Partington, Dichotomy results for norm estimates in operator semigroups, Operator Semigroups meet Complex Analysis, Harmonic Analysis and Mathematical Physics. Ed. by W. Arendt, R. Chill and Y. Tomilov, Operator Theory: Advances and Applications, Vol. 250, Birkhäuser (2015), 119-131.

I. Chalendar, J. Esterle and J.R. Partington, Lower estimates near the origin for functional calculus on operator semigroups, Journal of Functional Analysis, 269 (2015), 1620-1635.

I. Chalendar and J.R. Partington, Phragmén--Lindelöf principles for generalized analytic functions on unbounded domains, Complex Analysis and Operator Theory, 10 (2016), 61-68.

I. Chalendar and J.R. Partington, Norm estimates for weighted composition operators on spaces of holomorphic functions, Complex Analysis and Operator Theory, 8 (2014), 1087-1095.

A. Bashar Abusaksaka and J.R. Partington, BIBO stability of some classes of delay systems and fractional systems, Systems and Control Letters, 64 (2014), 43-46.

M.C. Câmara and J.R. Partington, Near invariance and kernels of Toeplitz operators, Journal d'Analyse Math. 124 (2014), 235-260.

B. Jacob, J.R. Partington and S. Pott, Weighted multiple interpolation and the control of perturbed semigroup systems, Journal of Evolution Equations, 13 (2013), 395-410.

J. Leblond, J.R. Partington and E. Pozzi, Best approximation in Hardy spaces and by polynomials, with norm constraints, Integral Equations and Operator Theory, 75 (2013), 491-516.

I. Chalendar and J.R. Partington, An overview of some recent developments on the invariant subspace problem, Concrete Operators, 1 (2012), 1-10.

I. Chalendar, P. Gorkin and J.R. Partington, Prime and semiprime inner functions, J. London Math. Soc., (2) 88 (2013), 779-800.

B. Jacob, J.R. Partington and S. Pott, Applications of Laplace-Carleson embeddings to admissibility and controllability, SIAM J. Control. Optim., 52 (2014), 1299-1313.

B. Jacob, J.R. Partington and S. Pott, On Laplace-Carleson embedding theorems, Journal of Functional Analysis, 264 (2013), 783-814.

E.A. Gallardo-Gutiérrez and J.R. Partington, Norms of composition operators on weighted Hardy spaces, Israel J. Math. 196 (2013), no. 1, 273-283.

J.R. Partington, Interpolation in Hardy spaces, with applications, Topics in Functional and Harmonic Analysis. Le Touquet, Metz, Lens 2010, Ed. by C. Badea, D. Li and V. Petkova, Theta Foundation (2012), 103-122.

J.R. Partington, Interpolation, Carleson measures and controllability, Actas de Colloquium (UCM, Madrid), 2011, Sec. 1, Num. 77, 123-130.

I. Chalendar, P. Gorkin and J.R. Partington, Determination of inner functions by their value sets on the circle, Computational Methods and Function theory, 11 (2011), 353-373.

I. Chalendar, P. Gorkin and J.R. Partington, The group of invariants of an inner function with finite spectrum, J. Math. Anal. and Appl., 389 (2012), 1259-1267.

E.A. Gallardo-Gutiérrez and J.R. Partington, A generalization of the Aleksandrov operator and adjoints of weighted composition operators, Annales de l'Institut Fourier, 63 (2013), 373-389.

B. Jacob, J.R. Partington and S. Pott, Weighted interpolation in Paley-Wiener spaces and finite-time controllability, Journal of Functional Analysis, 259 (2010), 2424-2436.

Y. Fischer, J. Leblond, J.R. Partington and E. Sincich, Bounded extremal problems in Hardy spaces for the conjugate Beltrami equation in simply-connected domains, Applied and Computational Harmonic Analysis, 31 (2011), 264-285.

C. Bonnet, A.R. Fioravanti and J.R. Partington, Stability of neutral systems with commensurate delays and poles asymptotic to the imaginary axis, SIAM J. Control Optimiz., 49 (2011), 498-516.

J.R. Partington and E. Pozzi, Universal shifts and composition operators, Operators and Matrices, 5 (2011), 455-467.

I. Chalendar, J. Esterle and J.R. Partington, Boundary values of analytic semigroups and associated norm estimates, Banach Algebras 2009, Banach Center Publications 91 (2010), 87-103.

I. Chalendar, P. Gorkin and J.R. Partington, Boundary interpolation and approximation by infinite Blaschke products, Mathematica Scandinavica, 107 (2010), 305-319.

E.A. Gallardo-Gutiérrez and J.R. Partington, The role of BMOA in the boundedness of weighted composition operators, Journal of Functional Analysis, 258 (2010), 3593-3603. Corrigendum, Ibid., 259 (2010), 2757-2758.

I. Chalendar, J.R. Partington and E. Pozzi, Multivariable weighted composition operators: lack of point spectrum, and cyclic vectors, in J.A. Ball, V. Bolotnikov, J.W. Helton, L. Rodman and I.M. Spitkovsky: Topics in Operator Theory Volume 1: Operators, Matrices and Analytic functions, Operator Theory: Advances and Applications, Vol. 202, Birkhäuser (2010), 63-85.

Z. Bendaoud, I. Chalendar, J. Esterle and J.R. Partington, Distances between elements of a semigroup and estimates for derivatives, Acta Mathematica Sinica, 26 (2010), 2239-2254.

I. Chalendar, P. Gorkin and J.R. Partington, Numerical ranges of restricted shifts and unitary dilations, Operators and Matrices, 3 (2009), 271-281.

B. Jacob, J.R. Partington and S. Pott, Zero-class admissibility of observation operators, Systems and Control Letters, 58 (2009), 406-412.

E.A. Gallardo-Gutiérrez, R. Kumar and J.R. Partington, Boundedness, compactness and Schatten-class membership of weighted composition operators, Integral Equations and Operator Theory, 67 (2010), 467-479.

B.H. Haak, B. Jacob, J.R. Partington and S. Pott, Admissibility and controllability of diagonal Volterra equations with scalar inputs, J. Differential Equations, 246 (2009), 4423-4440.

B. Atfeh, L. Baratchart, J. Leblond and J.R. Partington, Bounded extremal and Cauchy-Laplace problems on the sphere and shell. J. Fourier Anal. Appl., 16 (2010), 177-203.

B. Jacob, J.R. Partington and S. Pott, Tangential interpolation in weighted vector-valued H^p spaces, with applications, Complex Analysis and Operator Theory, 3 (2009), 697-727.

M. Jaoua, J. Leblond, M. Mahjoub and J.R. Partington, Robust numerical algorithms based on analytic approximation for the solution of inverse problems in annular domains, IMA J. Appl. Math, 74 (2009), 481-506.

M. Jaoua, S. Chaabane, C. Elhechmi, J. Leblond, M. Mahjoub and J.R. Partington, On some robust algorithms for the Robin inverse problem, Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées (ARIMA Review), 9 (2008), 287-307.

I. Chalendar and J.R. Partington, Invariant subspaces for products of Bishop operators, Acta Sci. Math. (Szeged), 74 (2008), 717-725.

I. Chalendar, N. Chevrot and J.R. Partington, Nearly invariant subspaces for backwards shifts on vector-valued Hardy spaces, Journal of Operator Theory, 63 (2010), 403-415.

E.A. Gallardo-Gutiérrez and J.R. Partington, Invariant subspaces for translation, dilation and multiplication semigroups, Journal d'Analyse Math., 107 (2009), 65-78.

I. Chalendar and J.R. Partington, Doubly-invariant subspaces for the shift on the vector-valued Sobolev spaces of the disc and annulus, Integral Equations and Operator Theory, 61 (2008), 149-158.

B. Jacob, J.R. Partington and S. Pott, Interpolation by vector-valued analytic functions, with applications to controllability, Journal of Functional Analysis, 252 (2007), 517-549.

E.A. Gallardo-Gutiérrez and J.R. Partington, Common hypercyclic vectors for families of operators, Proc. Amer. Math. Soc., 136 (2008), 119-126.

I. Chalendar, N. Chevrot and J.R. Partington, Invariant subspaces for the shift on the vector-valued L² space of an annulus, Journal of Operator Theory, 61 (2009), 313-330.

C. Bonnet and J.R. Partington, Stabilization of some fractional delay systems of neutral type, Automatica, 43 (2007), 2047-2053.

I. Chalendar and J.R. Partington, Applications of moment problems to the overcompleteness of sequences, Mathematica Scandinavica, 101 (2007), 249-260.

J.R. Partington and R.C. Smith, L¹ factorizations and invariant subspaces for weighted composition operators, Archiv der Mathematik, 87 (2006), 564-571.

E.A. Gallardo-Gutiérrez, J.R. Partington and D. Segura, Cyclic vectors and invariant subspaces for Bergman and Dirichlet shifts, Journal of Operator Theory, 62 (2009), 199-214.

P.M. Mäkilä and J.R. Partington, A two-operator approach to robust stabilization of linear systems on R, Int. J. Control, 79 (2006), 1026-1038.

B. Jacob and J.R. Partington, A resolvent test for admissibility of Volterra observation operators, J. Math. Anal. and Appl., 332 (2007), 346-355.

I. Chalendar and J.R. Partington, Multivariable approximate Carleman-type theorems for complex measures, Annals of Probability, 35 (2007), 384-396.

I. Chalendar, A. Flattot and J.R. Partington, The method of minimal vectors applied to weighted composition operators, in M.A. Dritschel: The extended field of operator theory, Operator Theory: Advances and Applications, Vol. 171, Birkhäuser (2007), 89-105.

J.R. Partington and S. Pott, Admissibility and exact observability of observation operators for semigroups, Irish Math. Soc. Bull., 55 (2005), 19-39.

I. Chalendar and J.R. Partington, An image problem for compact operators, Proc. Amer. Math. Soc., 134 (2006), 1391-1396.

I. Chalendar and J.R. Partington, Variations on Lomonosov's theorem via the technique of minimal vectors, Acta Sci. Math. (Szeged), 71 (2005), 603-617.

J.R. Partington and P.M. Mäkilä, Rational approximation of distributed-delay controllers, Int. J. Control, 78 (2005), 1295-1301.

J. Leblond, M. Mahjoub and J.R. Partington, Analytic extensions and Cauchy-type inverse problems on annular domains: stability results, J. Inverse Ill-Posed Probl., 14 (2006), 189-204.

J. Leblond, J.-P. Marmorat and J.R. Partington, Analytic approximation under real constraints, with applications to inverse diffusion problems, J. Inverse Ill-Posed Probl., 16 (2008), 89-105.

I. Chalendar, J.R. Partington and R.C. Smith, L¹ factorizations, moment problems and invariant subspaces, Studia Mathematica, 167 (2005), 183-194.

B. Jacob and J.R. Partington, On controllability of diagonal systems with one-dimensional input space, Systems and Control Letters, 55 (2006), 321-328.

E.A. Gallardo-Gutiérrez and J.R. Partington, Supercyclic vectors and the angle criterion, Studia Mathematica, 166 (2005), 93-99.

J.R. Partington, Some frequency-domain approaches to the model reduction of delay systems, Annual Reviews in Control, 28 (2004), 65-73.

B. Jacob and J.R. Partington, Admissible control and observation operators for Volterra integral equations, Journal of Evolution Equations, 4 (2004), 333-343.

C. Bonnet and J.R. Partington, Robust stability analysis of various classes of delay systems, in S.I. Niculescu and K. Gu: Advances in time-delay systems, Springer-Verlag (2004), 245-256.

P.M. Mäkilä and J.R. Partington, Least squares LTI approximation of nonlinear systems and quasistationarity analysis, Automatica, 40 (2004), 1157-1169.

I. Chalendar, L. Habsieger, J.R. Partington and T.J. Ransford, Approximate Carleman theorems and a Denjoy-Carleman maximum principle, Archiv der Mathematik, 83 (2004), 88-96.

I. Chalendar and J.R. Partington, Convergence properties of minimal vectors for normal operators and weighted shifts, Proc. Amer. Math. Soc., 133 (2005), 501-510.

R. Kumar and J.R. Partington, Weighted composition operators on Hardy and Bergman spaces, in D. Gaspar, I. Gohberg, D. Timotin, F.H. Vasilescu, L. Zsido: Recent advances in operator theory, operator algebras, and their applications, Proc. XIXth International Conference on Operator Theory (Timisoara), 2002, Operator Theory: Advances and Applications, Vol. 153, Birkhäuser (2005), 157-167.

J.R. Partington and C. Bonnet, H_∞ and BIBO stabilization of delay systems of neutral type, Systems and Control Letters, 52 (2004), 283-288.

B. Jacob and J.R. Partington, Admissibility of control and observation operators for semigroups: a survey, in J.A. Ball, J.W. Helton, M. Klaus and L. Rodman: Current Trends in Operator Theory and its Applications, Proceedings of IWOTA 2002, Operator Theory: Advances and Applications, Vol. 149, Birkhäuser (2004), 199-221.

I. Chalendar, E. Fricain and J.R. Partington, Overcompleteness of sequences of reproducing kernels in model spaces. Integral Equations and Operator Theory, 56 (2006), 45-56.

J.J. Winkin, F.M. Callier, B. Jacob and J.R. Partington, Spectral factorization by symmetric extraction for distributed parameter systems, SIAM J. Control Optimiz., 43 (2005), 1435-1466.

P.M. Mäkilä and J.R. Partington, Input-output stabilization of linear systems on Z, I.E.E.E. Trans. Automat. Control, 49 (2004), 1916-1928.

I. Chalendar, J.R. Partington and M. Smith, Approximation in reflexive Banach spaces and applications to the invariant subspace problem, Proc. Amer. Math. Soc., 132 (2004), 1133-1142.

B. Jacob, J.R. Partington and S. Pott, Conditions for admissibility of observation operators and boundedness of Hankel operators, Integral Equations and Operator Theory, 47 (2003), 315-338.

C. Bonnet, J.R. Partington and M. Sorine, A modified matching pursuit algorithm applied to the approximation of vecto-cardiogram data, Internat. J. Pure Appl. Math., 15 (2004), 25-35. A fuller version is INRIA Rapport de Recherche, No. 4535 (2002). PDF file

I. Chalendar and J.R. Partington, Constrained approximation and invariant subspaces, J. Math. Anal. and Appl., 280 (2003), 176-187.

J.R. Partington, Model reduction of delay systems, in V.D. Blondel and A. Megretski, Unsolved problems in mathematical systems and control theory, Princeton University Press (2004), 29-32.

I. Chalendar and J.R. Partington, Spectral density for multiplication operators with applications to factorization of L¹ functions, Journal of Operator Theory, 50 (2003), 411-422.

P.M. Mäkilä and J.R. Partington, Input-output stabilization on the doubly-infinite time axis, Int. J. Control, 75 (2002), 981-987.

L. Baratchart, J. Grimm, J. Leblond and J.R. Partington, Asymptotic estimates for interpolation and constrained approximation in H² by diagonalization of Toeplitz operators, Integral Equations and Operator Theory, 45 (2003), 269-299.

P.M. Mäkilä and J.R. Partington, On linear models for nonlinear systems, Automatica, 39 (2003), 1-13.

J.R. Partington and P.M. Mäkilä, On system gains for linear and nonlinear systems, Systems and Control Letters, 46 (2002), 129-136.

I. Chalendar and J.R. Partington, On the structure of invariant subspaces for isometric composition operators on H²(D) and H²(C₊), Archiv der Mathematik, 81 (2003), 193-207.

B. Jacob, J. Leblond, J.-P. Marmorat and J.R. Partington, A constrained approximation problem arising in parameter identification, Linear Algebra and its Applications, 351-352 (2002), 487-500.

I. Chalendar, J. Leblond and J.R. Partington, Approximation problems in some holomorphic spaces, with applications, in A.A. Borichev and N.K. Nikolski: Systems, Approximation, Singular Integral Operators, and Related Topics, Proceedings of IWOTA 2000, Operator Theory: Advances and Applications, Vol. 129, Birkhäuser (2001), 143-168.

B. Jacob, J.R. Partington and S. Pott, Admissible and weakly admissible observation operators for the right shift semigroup, Proc. Edinburgh Math. Soc., 45 (2002), 353-362.

I. Chalendar and J.R. Partington, L¹ factorizations for some perturbations of the unilateral shift, C.R. Acad. Sci. Paris Sér. I Math., 332 (2001), 115-119.

C. Bonnet and J.R. Partington, Analysis of fractional delay systems of retarded and neutral type, Automatica, 38 (2002), 1133-1138.

C. Bonnet and J.R. Partington, Stabilization of fractional exponential systems including delays, Kybernetika, 37 (2001), 345-353.

K.J. Harrison, J.R. Partington and J.A. Ward, Input-output identifiability of continuous-time linear systems, Journal of Complexity, 18 (2002), 210-223.

I. Chalendar and J.R. Partington, Interpolation between Hardy spaces on circular domains with applications to approximation, Archiv der Mathematik, 78 (2002), 223-232.

B. Jacob and J.R. Partington, The Weiss conjecture on admissibility of observation operators for contraction semigroups, Integral Equations and Operator Theory, 40 (2001), 231-243.

B. Jacob, J.R. Partington and B. Ünalmis, On discrete-time linear systems with almost-periodic kernels, J. Math. Anal. and Appl., 252 (2000), 549-570.

J.R. Partington and G.K. Sankaran, Algebraic construction of normalized coprime factors for delay systems, Math. Control, Signals and Systems, 15 (2002), 1-12.

B. Jacob and J.R. Partington, Graphs, closability, and causality of linear time-invariant discrete-time systems, Int. J. Control, 73 (2000), 1051-1060.

C. Bonnet and J.R. Partington, Coprime factorizations and stability of fractional differential systems, Systems and Control Letters, 41 (2000), 167-174.

J.R. Partington and B. Ünalmis, On the windowed Fourier transform and wavelet transform of almost periodic functions, Applied and Computational Harmonic Analysis, 10 (2001), 45-60.

B. Jacob and J.R. Partington, On the boundedness and continuity of the spectral factorization mapping, SIAM J. Control Optimiz., 40 (2001), 88-106.

J.R. Partington and P.M. Mäkilä, Robust identification and the rejection of outliers, in A. Garulli, A. Tesi and A. Vicino: Robustness in Identification and Control, Springer Lecture Notes in Control and Information Sciences No. 245 (1999), 35-46.

J.R. Partington and G. Weiss, Admissible observation operators for the right shift semigroup, Math. Control, Signals and Systems, 13 (2000), 179-192.

P.M. Mäkilä and J.R. Partington, Robustness in H_∞ identification, Automatica, 36 (2000), 1685-1691.

J. Leblond and J.R. Partington, Constrained approximation and interpolation in Hilbert function spaces, J. Math. Anal. and Appl. 234 (1999), 500-513.

I. Chalendar and J.R. Partington, Approximation problems and representations of Hardy spaces in circular domains. Studia Mathematica, 136 (1999), 255-269.

P.M. Mäkilä and J.R. Partington, Shift operator induced approximations of delay systems, SIAM J. Control Optimiz., 37 (1999), 1897-1912.

P.M. Mäkilä and J.R. Partington, Laguerre and Kautz shift approximations of delay systems, Int. J. Control, 72 (1999), 932-946.

L. Baratchart, J. Leblond and J.R. Partington, Constrained H^p interpolation on subsets of the circle, INRIA Rapport de Recherche, No. 3763 (1999). PDF file

L. Baratchart, J. Leblond and J.R. Partington, Problems of Adamjan-Arov-Krein type on subsets of the circle and minimal-norm extensions, Constructive Approximation, 16 (2000), 333-357.

C. Bonnet, J.R. Partington and M. Sorine, Robust stabilization of a delay system with saturating actuator or sensor, Int. J. Robust Nonlin. Control, 10 (2000), 579-590.

C. Bonnet, J.R. Partington and M. Sorine, Digital phase-locked loops tracked by a relay sensor. I.E.E.E. Trans. Communications, 47 (1999), 667-669.

P.M. Mäkilä and J.R. Partington, On robustness in system identification, Automatica, 35 (1999), 907-916.

C. Bonnet, J.R. Partington and M. Sorine, Robust control and tracking of a delay system with discontinuous nonlinearity in the feedback, Int. J. Control, 72 (1999), 1354-1364.

J.R. Partington, Input design for worst-case identification, in V.D. Blondel, E.D. Sontag, M. Vidyasagar and J.C. Willems: Open Problems in Mathematical Systems and Control Theory, Springer-Verlag (1998), 163-166.

C. Bonnet, J.R. Partington and M. Sorine, Robust control and tracking in L_∞ of delay systems equipped with a relay sensor, in N.T. Koussoulas and P. Groumpos: Large Scale Systems: Theory and Applications 1998 (LSS '98), vol. 1, Pergamon (1999), 431-434.

J.R. Partington, Worst-case errors of linear algorithms for identification in H_∞, Int. J. Control, 69 (1998), 347-352.

K.J. Harrison, J.R. Partington and J.A. Ward, Complexity of identification of linear systems with rational transfer functions, Math. Control Sig. Sys. 11 (1998), 265-288.

P.M. Mäkilä, J.R. Partington and T. Norlander, Bounded power signal spaces for robust control and modelling, SIAM J. Control Optimiz. 37 (1999), 92-117.

J.R. Partington and B. Ünalmis, On the representation of shift-invariant operators by transfer functions, Systems and Control Letters, 33 (1998), 25-30.

P.M. Mäkilä and J.R. Partington, Lethargy results in LTI system modelling, Automatica, 34 (1998), 1061-1070.

C. Bonnet and J.R. Partington, Bézout factors and L¹-optimal controllers for delay systems using a two-parameter compensator scheme, I.E.E.E. Trans. Automat. Control, 44 (1999), 1512-1521.

N.F. Dudley Ward and J.R. Partington, A construction of rational wavelets and frames in Hardy-Sobolev spaces, with applications to system modelling, SIAM J. Control Optimiz., 36 (1998), 654-679.

J.R. Partington and P.M. Mäkilä, Modelling of linear fading-memory systems, I.E.E.E. Trans. Automat. Control, 41 (1996), 899-903.

P.M. Mäkilä, J.R. Partington and T.K. Gustafsson, Worst-case control-relevant identification, Automatica, 31 (1995), 1799-1819.

L. Baratchart, J. Leblond, J.R. Partington and N. Torkhani, Robust identification from band-limited data, I.E.E.E. Trans. Automat. Control, 42 (1997), 1318-1325.

L. Baratchart, J. Leblond and J.R. Partington, Hardy approximation to L^∞ functions on subsets of the circle, Constructive Approximation, 12 (1996), 423-435.

N.F. Dudley Ward and J.R. Partington, Robust identification in the disc algebra using rational wavelets and orthonormal basis functions, Int. J. Control, 64 (1996), 409-423.

C. Bonnet and J.R. Partington, Robust stabilization in the BIBO gap topology, Int. J. Robust Nonlin. Control, 7 (1997), 429-447.

N.F. Dudley Ward and J.R. Partington, Rational wavelet decompositions of transfer functions in Hardy-Sobolev classes, Math. Control, Signals and Systems, 8 (1995), 257-278.

J.R. Partington, Recovery of functions by interpolation and sampling, J. Math. Anal. and Appl., 198 (1996), 301-309.

J.R. Partington and P.M. Mäkilä, Analysis of linear methods for robust identification in l₁, Automatica, 31 (1995), 755-758.

J.R. Partington and P.M. Mäkilä, Worst case analysis of the least-squares method and related identification methods, Systems and Control Letters, 24 (1995), 193-200.

N. Das and J.R. Partington, Little Hankel operators on the half plane, Integral Equations Operator Theory, 20 (1994), 306-324.

J.R. Partington and P.M. Mäkilä, Worst-case analysis of identification - BIBO robustness for closed-loop data, I.E.E.E. Trans. Automat. Control, 39 (1994), 2171-2176.

J.R. Partington, Worst case identification in l₂ : linear and nonlinear algorithms, Systems and Control Letters, 22 (1994), 93-98.

J.R. Partington, Interpolation in normed spaces from the values of linear functionals, Bull. London Math. Soc., 26 (1994), 165-170.

P.M. Mäkilä and J.R. Partington, On bounded error identification of feedback systems, Int. J. Adaptive Control and Signal Processing, 9 (1995), 47-61.

J.R. Partington, Algorithms for identification in H_∞ with unequally spaced function measurements, Int. J. Control, 58 (1993), 21-31.

C.A. Jacobson, C.N. Nett and J.R. Partington, Worst case identification in l₁ : optimal algorithms and error bounds, Systems and Control Letters, 19 (1992), 419-424.

P.M. Mäkilä and J.R. Partington, Robust stabilization - BIBO stability, distance notions and robustness optimization, Automatica, 29 (1993), 681-693.

P.M. Mäkilä and J.R. Partington, Robust approximate modelling of stable linear systems, Int. J. Control, 58 (1993), 665-683.

J.R. Partington, Worst-case identification in Banach spaces, Systems and Control Letters, 18 (1992), 423-428.

P.M. Mäkilä and J.R. Partington, Identification of feedback systems from time series, in R.S. Smith and M. Dahleh: The modeling of uncertainty in control systems, Springer Lecture Notes in Control and Information Sciences No. 192 (1994), 117-126.

P.M. Mäkilä and J.R. Partington, Robust identification of strongly stabilizable systems, I.E.E.E. Trans. Automat. Control, 37 (1992), 1709-1716.

J.R. Partington, Robust control and approximation in the chordal metric, in S. Hosoe: Robust Control, Springer Lecture Notes in Control and Information Sciences No. 183 (1992), 82-89.

J.R. Partington, The L₂ approximation of infinite-dimensional systems, in N.K. Nichols and D.H. Owens: The Mathematics of Control Theory, Oxford University Press (1992), 347-360.

J.R. Partington, Robust identification in H_∞ , J. Math. Anal. and Appl., 166 (1992), 428-441.

J.R. Partington, Robust identification and interpolation in H_∞ , Int J. Control, 54 (1991), 1281-1290.

J.R. Partington, Approximation of unstable infinite-dimensional systems using coprime factors, Systems and Control Letters, 16 (1991), 89-96.

J.R. Partington, Approximation of delay systems by Fourier-Laguerre series, Automatica, 27 (1991), 569-572.

K. Glover, J. Lam and J.R. Partington, Rational approximation of a class of infinite-dimensional systems: The L₂ case, in P. Nevai and A. Pinkus: Progress in Approximation Theory, Academic Press (1991), 405-440.

K. Glover, J. Lam and J.R. Partington, Rational approximation of a class of infinite-dimensional systems II: Optimal convergence rates of L_∞ approximants, Math. Control Sig. Sys., 4 (1991), 233-246.

K. Glover, J. Lam and J.R. Partington, Rational approximation of a class of infinite-dimensional systems I: Singular values of Hankel operators, Math. Control Sig. Sys., 3 (1990), 325-344.

J.R. Partington and K. Glover, Robust stabilization of delay systems by approximation of coprime factors, Systems and Control Letters, 14 (1990), 325-331.

J.R. Partington, K. Glover, H.J. Zwart and R.F. Curtain, L_∞ approximation and nuclearity of delay systems, Systems and Control Letters, 10 (1988), 59-65.

H.J. Zwart, R.F. Curtain, J.R. Partington and K. Glover, Partial fraction expansions for delay systems, Systems and Control Letters, 10 (1988), 235-244.

K. Glover, R.F. Curtain and J.R. Partington, Realization and approximation of linear infinite dimensional systems with error bounds, SIAM J. Control Optimiz., 26 (1988), 863-898.

K. Glover and J.R. Partington, Bounds on the achievable accuracy in model reduction, in R.F. Curtain: Modelling robustness and sensitivity reduction in control systems, Springer-Verlag (1987), 95-118.

K. Glover, J. Lam and J.R. Partington, Balanced realisation and Hankel-norm approximation of systems involving delays, Proc. 25th I.E.E.E. conference on Decision and Control, Athens, I.E.E.E. (1986), 1810-1815.

J.R. Partington, Orthogonality in normed spaces, J. Austral. Math. Soc., 35 (1986), 449-455.

J.R. Partington, B-convexity, super-reflexivity and summability, Quart. J. Math., (2) 37 (1986), 467-471.

J.R. Partington, Self-conjugate polyhedral Banach spaces, Bull. London Math. Soc., 18 (1986), 284-286.

J.R. Partington, Growth conditions on subharmonic functions and resolvents of operators, Math. Proc. Camb. Philos. Soc., 97 (1985), 321-324.

J.R. Partington, Maximal norms on Banach spaces, Bull. London Math. Soc., 17 (1985), 55-56.

V.I. Istratescu and J.R. Partington, On nearly uniformly convex and k-uniformly convex spaces, Math. Proc. Camb. Philos. Soc., 95 (1984), 325-327.

B. Bollobás and J.R. Partington, Inequalities for quadratic polynomials in Hermitian and dissipative operators, Adv. Math., 51 (1984), 271-280.

J.R. Partington, On nearly uniformly convex Banach spaces, Math. Proc. Camb. Philos. Soc., 93 (1983), 127-129. Corrigendum, Ibid., 94 (1983), 189.

J.R. Partington, The resolvent of a Hermitian operator on a Banach space, J. London Math. Soc., (2) 27 (1983), 507-512.

J.R. Partington, Norm attaining operators, Israel J. Math., 43 (1982), 273-276.

J.R. Partington, Almost sure summability of subsequences in Banach spaces, Studia Math., 71 (1982), 27-35.

J.R. Partington, Hadamard-Landau inequalities for uniformly convex spaces, Math. Proc. Camb. Philos. Soc., 90 (1981), 259-264.

J.R. Partington, Subspaces of certain Banach sequence spaces, Bull. London Math. Soc., 13 (1981), 162-166.

J.R. Partington, Equivalent norms on spaces of bounded functions, Israel J. Math., 35 (1980), 205-209.

J.R. Partington, Constants relating a hermitian operator and its square, Math. Proc. Camb. Philos. Soc., 85 (1979), 325-333.

J.R. Partington, Hermitian operators for absolute norms and absolute direct sums, Linear Algebra and its Applications, 23 (1979), 275-280.

J.R. Partington, On the Banach-Saks property, Math. Proc. Camb. Philos. Soc., 82 (1977), 369-374.

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Last updated 3rd April 2024