Reproducing kernels, de Branges-Rovnyak spaces, and norms of weighted composition operators

DOI10.1090/S0002-9939-07-08931-9zbMath1137.47019arXiv0707.3426MaRDI QIDQ5308136

Publication date: 27 September 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3426

zbMATH Keywords

Hardy space Bergman space weighted composition operators reproducing kernels de-Branges-Rovnyak spaces

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear composition operators (47B33) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (20)

The Sarason sub-symbol and the recovery of the symbol of densely defined Toeplitz operators over the Hardy space ⋮ de Branges–Rovnyak Spaces: Basics and Theory ⋮ Exponentials of de Branges–Rovnyak kernels ⋮ Boundedness, compactness and Schatten-class membership of weighted composition operators ⋮ Hilbertian Hardy-Sobolev spaces on a half-plane ⋮ A note on composition operators in a half-plane ⋮ Nonextreme de Branges-Rovnyak spaces as models for contractions ⋮ Higher-order de Branges-Rovnyak and sub-Bergman spaces ⋮ Solutions to a dyadic recurrent system and a certain action on \(\mathcal B(\mathcal H)\) induced by shifts ⋮ Operator-valued Herglotz kernels and functions of positive real part on the ball ⋮ Norms and spectral radii of linear fractional composition operators on the ball ⋮ Integral representation of the \(n\)-th derivative in de Branges-Rovnyak spaces and the norm convergence of its reproducing kernel ⋮ Valiron's theorem in the unit ball and spectra of composition operators ⋮ Composition and multiplication operators on the derivative Hardy space ⋮ Weighted composition operators on the Mittag-Leffler spaces of entire functions ⋮ Indefinite Schwarz-Pick inequalities on the bidisk ⋮ Bounded composition operators and multipliers of some reproducing kernel Hilbert spaces on the bidisk ⋮ Operator algebras for analytic varieties ⋮ Infinite-Time Admissibility and Exact Observability of Volterra Systems ⋮ Some remarks on operator equation \(C_{\varphi}=C_{\psi}X\)

Cites Work

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