The Berezin Symbol and Multipliers of Functional Hilbert Spaces

DOI10.2307/2161894zbMath0847.46010OpenAlexW4254353102MaRDI QIDQ4874263

Semra Kiliç

Publication date: 8 October 1996

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

Full work available at URL: https://doi.org/10.2307/2161894

zbMATH Keywords

Toeplitz operatorsmultiplication operatorsBerezin symbolmultiplicative propertyvector-valued functional Hilbert spacesfunctional Hilbert space of analytic functions

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

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The Berezin transform and radial operators ⋮ The Berezin transform and its applications ⋮ Berezin number inequalities involving superquadratic functions ⋮ Berezin symbol inequalities via Grüss type inequalities and related questions ⋮ Domination of Berezin transform ⋮ On some problems for operators on the reproducing kernel Hilbert space ⋮ Berezin number inequalities for operators ⋮ Inequalities for the Berezin number of operators and related questions ⋮ On some problems for reproducing kernel Hilbert space operators via the Berezin transform ⋮ Some new relations between the Berezin number and the Berezin norm of operators ⋮ Coherent states and Berezin quantization for non-scalar holomorphic representations

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