The orthogonal complement of $\mathcal{M}(a)$ in $\mathcal{H}(b)$

DOI10.4064/sm200918-5-1OpenAlexW3158327885MaRDI QIDQ3381911

Maria Nowak, Paweł Sobolewski, Andrzej Sołtysiak

Publication date: 20 September 2021

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm200918-5-1

zbMATH Keywords

Toeplitz operatorsde Branges-Rovnyak spaceskernel functionsnonextreme functions

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Hardy spaces (30H10)

Cites Work

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• Concrete examples of \(\mathcal{H}(b)\) spaces
• Unbounded Toeplitz operators
• On kernels of Toeplitz operators
• Which de Branges-Rovnyak spaces are Dirichlet spaces (and vice versa)?
• A higher order analogue of the Carathéodory--Julia theorem
• De~Branges--Rovnyak spaces and generalized Dirichlet spaces
• Angular derivatives via hilbert space
• Examples of de Branges–Rovnyak spaces generated by nonextreme functions
• Range Spaces of Co-analytic Toeplitz Operators
• The Theory ofH(b) Spaces
• Spectral theory of linear operators and spectral systems in Banach algebras

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