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Convexity of the Berezin range (Q2135531)

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scientific article; zbMATH DE number 7523366

Language	Label	Description	Also known as
English	Convexity of the Berezin range	scientific article; zbMATH DE number 7523366

Statements

scholarly article

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Convexity of the Berezin range (English)

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Christopher Felder

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Linear Algebra and its Applications

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publication date

9 May 2022

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full work available at URL

https://arxiv.org/abs/2109.12095

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zbMATH Keywords

Berezin transform

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Berezin range

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Berezin set

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convexity

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composition operator

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MaRDI profile type

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On the range of the Berezin transform

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Skew-symmetric and essentially unitary operators via Berezin symbols

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Compact operators via the Berezin transform

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Berezin number inequalities for operators

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Compactness characterization of operators in the Toeplitz algebra of the Fock space \(F^p_\alpha\)

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A symbol calculus for Toeplitz operators

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Compressions of the Shift on the Bidisk and their Numerical Ranges

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Numerical range and compressions of the shift

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Elementary proofs for some results on the circular symmetry of the numerical range

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On the numerical range of a bounded operator

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Compact Toeplitz operators via the Berezin transform on bounded symmetric domains

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Applications of reproducing kernels and Berezin symbols

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Hardy-Hilbert's inequality and power inequalities for Berezin numbers of operators

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Model spaces: a survey

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Condition for the numerical range to contain an elliptic disc

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Shorter Notes: The Toeplitz-Hausdorff Theorem for Linear Operators

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Compactness of operators on the Bergman space of the Thullen domain

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Berezin symbols and Schatten-von Neumann classes

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Berezin symbol and invertibility of operators on the functional Hilbert spaces

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On a Beurling-Arveson type theorem for some functional Hilbert spaces and related questions

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Use of reproducing kernels and Berezin symbols technique in some questions of operator theory

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Reproducing kernels and Berezin symbols techniques in various questions of operator theory

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Berezin number of operators and related questions

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On the numerical range of a matrix

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A simple proof of the elliptical range theorem

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The essential norm of operators on \({A^p_\alpha(\mathbb{B}_n)}\)

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A reproducing kernel thesis for operators on Bergman-type function spaces

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An introduction to the theory of reproducing kernel Hilbert spaces

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The range of the Berezin transform

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Composition operators and classical function theory

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The essential norm of operators in the Toeplitz algebra on $A^p(B_n)$

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Axler-Zheng type theorem on a class of domains in \(\mathbb C^n\)

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Berezin transform, Mellin transform and Toeplitz operators

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A local weighted Axler-Zheng theorem in \(\mathbb{C}\)n

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Counterexamples to two variants of the Helson-Szegö theorem.

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Numerical ranges as circular discs

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On numerical radius and Berezin number inequalities for reproducing kernel Hilbert space

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Berezin number inequality for convex function in reproducing Kernel Hilbert Space

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The Berezin transform and radial operators

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Closed range type properties of Toeplitz operators on the Bergman space and the Berezin transform

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.LAA.2022.04.003

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Sitelinks

Mathematics(1 entry)

mardi Publication:2135531

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