A Gleason–Kahane–Żelazko theorem for reproducing kernel Hilbert spaces

DOI10.1112/blms.12618zbMath1529.46017arXiv2011.03360OpenAlexW4220979276WikidataQ113788576 ScholiaQ113788576MaRDI QIDQ6133391

Thomas Ransford, Javad Mashreghi, Michael Hartz, Cheng Chu

Publication date: 18 August 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.03360

zbMATH Keywords

Hilbert spacesreproducing kernelGleason-Kahane-Żelazko theorem

Mathematics Subject Classification ID

Automatic continuity (46H40) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Cites Work

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• A formula for the local Dirichlet integral
• Complete Nevanlinna-Pick kernels
• Complete Nevanlinna-Pick property of Dirichlet-type spaces
• A Gleason-Kahane-Żelazko theorem for the Dirichlet space
• For which reproducing kernel Hilbert spaces is Pick's theorem true!
• The structure of inner multipliers on spaces with complete Nevanlinna Pick kernels
• Factorization and reflexivity of Fock spaces
• Which de Branges-Rovnyak spaces have complete Nevanlinna-Pick property?
• Radially weighted Besov spaces and the Pick property
• Spaces of Dirichlet series with the complete Pick property
• A characterization of maximal ideals
• Cyclicity preserving operators on spaces of analytic functions in \(\mathbb{C}^n\)
• An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
• A Gleason-Kahane-Żelazko theorem for modules and applications to holomorphic function spaces
• Cyclic Vectors in the Dirichlet Space
• Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
• On the Isomorphism Problem for Multiplier Algebras of Nevanlinna-Pick Spaces
• Factorization in weak products of complete Pick spaces
• The Smirnov class for spaces with the complete Pick property
• A characterization of maximal ideals in commutative Banach algebras
• A characterization of multiplicative linear functionals in complex Banach algebras

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