Jonathan R. Partington
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Jonathan R. Partington has a total of 124 co-authors. Here are the top co-authors by number of shared publications:
- Birgit Jacob
School of Mathematics and Natural Sciences University of Wuppertal Gaußstraße 20 42119 Wuppertal Germany
30 shared publications - Maria Cristina Câmara
Universidade de Lisboa
22 shared publications - Isabelle Chalendar
Université Gustave Eiffel, LAMA, (UMR 8050), UPEM, UPEC, CNRS, Marne-la-Vallée, France
15 shared publications - Eva Gallardo-Gutiérrez
Facultad de CC Matemáticas Universidad Complutense de Madrid and Instituto de Ciencias Matemáticas ICMAT, Dpto. de Análisis Matemático y Matemática Aplicada Madrid Spain
13 shared publications Isabelle Chalendar
Université de Lyon
9 shared publications- Isabelle Chalendar
Université de Lyon
9 shared publications
Latest Publications
- 11 August 2026
- Published by Springer Nature
- p. 2365-2388
Kernels of Paired Operators and Their Adjoints
- 11 August 2026
- Published by Springer Nature
- p. 2365-2388
Kernels of Paired Operators and Their Adjoints
- Open Access
- 9 June 2026
- Published by Springer Nature in Analysis and Mathematical Physics
- Vol. 16 (4) , 75
Laplace–Carleson embeddings and infinity-norm admissibility
A full characterization of the boundedness of Laplace–Carleson embeddings on $$L^\infty $$ is provided, in terms of the Carleson intensity of the respective measure and of a suitable weighted Berezin transform of the measure. Moreover, boundedness results, and in some cases full characterizations of boundedness, are proved for a large class of Orlicz spaces. These findings are crucial for characterizing admissibility of control operators for linear diagonal semigroup systems in a variety of contexts. A particular focus is laid on essentially bounded inputs.- 9 June 2026
- Published by Springer Nature in Analysis and Mathematical Physics
- Vol. 16 (4) , 75
Open AccessLaplace–Carleson embeddings and infinity-norm admissibility
A full characterization of the boundedness of Laplace–Carleson embeddings on $$L^\infty $$ is provided, in terms of the Carleson intensity of the respective measure and of a suitable weighted Berezin transform of the measure. Moreover, boundedness results, and in some cases full characterizations of boundedness, are proved for a large class of Orlicz spaces. These findings are crucial for characterizing admissibility of control operators for linear diagonal semigroup systems in a variety of contexts. A particular focus is laid on essentially bounded inputs. - 13 October 2025
- Published by Springer Nature in Collectanea Mathematica
- p. 1-21
Composition operators between Toeplitz kernels
- 13 October 2025
- Published by Springer Nature in Collectanea Mathematica
- p. 1-21
Composition operators between Toeplitz kernels
- Open Access
Recent perspectives on the Invariant Subspace Problem
We review recent work connected with the invariant subspace problem for operators, in particular new developments in the last 15 years. In particular, we include discussions of almost-invariant subspaces, universal operators, specific classes of operators and new results in the framework of Banach spaces.
Open AccessRecent perspectives on the Invariant Subspace Problem
We review recent work connected with the invariant subspace problem for operators, in particular new developments in the last 15 years. In particular, we include discussions of almost-invariant subspaces, universal operators, specific classes of operators and new results in the framework of Banach spaces.
- Open Access
On the relation between distances and seminorms on Fréchet spaces, with application to isometries
A study is made of linear isometries on Fréchet spaces for which the metric is given in terms of a sequence of seminorms. This establishes sufficient conditions on the growth of the function that defines the metric in terms of the seminorms to ensure that a linear operator preserving the metric also preserves each of these seminorms. As an application, characterizations are given of the isometries on various spaces including those of holomorphic functions on complex domains and continuous functions on open sets, extending the Banach--Stone theorem to surjective and nonsurjective cases.
Open AccessOn the relation between distances and seminorms on Fréchet spaces, with application to isometries
A study is made of linear isometries on Fréchet spaces for which the metric is given in terms of a sequence of seminorms. This establishes sufficient conditions on the growth of the function that defines the metric in terms of the seminorms to ensure that a linear operator preserving the metric also preserves each of these seminorms. As an application, characterizations are given of the isometries on various spaces including those of holomorphic functions on complex domains and continuous functions on open sets, extending the Banach--Stone theorem to surjective and nonsurjective cases.
- Open Access
- 20 June 2025
- Published by MDPI AG in Mathematics
- Vol. 13 (13) , 2053
On the Relation Between Distances and Seminorms on Fréchet Spaces, with Application to Isometries
A study is made of linear isometries on Fréchet spaces for which the metric is given in terms of a sequence of seminorms. This establishes sufficient conditions on the growth of the function that defines the metric in terms of the seminorms to ensure that a linear operator preserving the metric also preserves each of these seminorms. As an application, characterizations are given of the isometries on various spaces including those of holomorphic functions on complex domains and continuous functions on open sets, extending the Banach–Stone theorem to surjective and nonsurjective cases.
- 20 June 2025
- Published by MDPI AG in Mathematics
- Vol. 13 (13) , 2053
Open AccessOn the Relation Between Distances and Seminorms on Fréchet Spaces, with Application to Isometries
A study is made of linear isometries on Fréchet spaces for which the metric is given in terms of a sequence of seminorms. This establishes sufficient conditions on the growth of the function that defines the metric in terms of the seminorms to ensure that a linear operator preserving the metric also preserves each of these seminorms. As an application, characterizations are given of the isometries on various spaces including those of holomorphic functions on complex domains and continuous functions on open sets, extending the Banach–Stone theorem to surjective and nonsurjective cases.
- Open Access
On the relation between distances and seminorms on Fréchet spaces, with application to isometries
A study is made of linear isometries on Fréchet spaces for which the metric is given in terms of a sequence of seminorms. This establishes sufficient conditions to ensure that a linear operator preserving these distances also preserves each semi-norm. As an application, characterizations are given of the isometries on various spaces including those of holomorphic functions on complex domains and continuous functions on open sets, extending the Banach-Stone theorem to surjective and nonsurjective cases.
Open AccessOn the relation between distances and seminorms on Fréchet spaces, with application to isometries
A study is made of linear isometries on Fréchet spaces for which the metric is given in terms of a sequence of seminorms. This establishes sufficient conditions to ensure that a linear operator preserving these distances also preserves each semi-norm. As an application, characterizations are given of the isometries on various spaces including those of holomorphic functions on complex domains and continuous functions on open sets, extending the Banach-Stone theorem to surjective and nonsurjective cases.
- Open Access
- 27 February 2025
- Published by Springer Nature in Advances in Operator Theory
- Vol. 10 (2) , 1-20
Paired kernels and truncated Toeplitz operators
This paper considers paired operators in the context of the Lebesgue Hilbert space $$L^2$$ on the unit circle and its subspace, the Hardy space $$H^2.$$ The kernels of such operators, together with their analytic projections, which are generalizations of Toeplitz kernels, are studied. Inclusion relations between such kernels are considered in detail, and the results are applied to describing the kernels of finite-rank asymmetric truncated Toeplitz operators.- 27 February 2025
- Published by Springer Nature in Advances in Operator Theory
- Vol. 10 (2) , 1-20
Open AccessPaired kernels and truncated Toeplitz operators
This paper considers paired operators in the context of the Lebesgue Hilbert space $$L^2$$ on the unit circle and its subspace, the Hardy space $$H^2.$$ The kernels of such operators, together with their analytic projections, which are generalizations of Toeplitz kernels, are studied. Inclusion relations between such kernels are considered in detail, and the results are applied to describing the kernels of finite-rank asymmetric truncated Toeplitz operators. - Open Access
- 21 February 2025
- Published by Springer Nature in Annali di Matematica Pura ed Applicata (1923 -)
- Vol. 204 (5) , 2049-2063
Rhaly operators: more on generalized Cesàro operators
Rhaly operators, as generalizations of the Cesàro operator, are studied from the standpoint of view of spectral theory and invariant subspaces, extending previous results by Rhaly and Leibowitz to a framework where generalized Cesàro operators arise naturally.
- 21 February 2025
- Published by Springer Nature in Annali di Matematica Pura ed Applicata (1923 -)
- Vol. 204 (5) , 2049-2063
Open AccessRhaly operators: more on generalized Cesàro operators
Rhaly operators, as generalizations of the Cesàro operator, are studied from the standpoint of view of spectral theory and invariant subspaces, extending previous results by Rhaly and Leibowitz to a framework where generalized Cesàro operators arise naturally.
- 21 February 2025
- Published by Springer Nature in Banach Journal of Mathematical Analysis
- Vol. 19 (2) , 1-18
Linear isometries on the annulus: description and spectral properties
- 21 February 2025
- Published by Springer Nature in Banach Journal of Mathematical Analysis
- Vol. 19 (2) , 1-18
Linear isometries on the annulus: description and spectral properties