Convexity of the Berezin range

DOI10.1016/j.laa.2022.04.003OpenAlexW3202485114MaRDI QIDQ2135531

Christopher Felder, Carl C. Cowen

Publication date: 9 May 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.12095

zbMATH Keywords

convexityBerezin transformcomposition operatorBerezin rangeBerezin set

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (max. 100)

Spectra for Toeplitz operators associated with a constrained subalgebra ⋮ Composition operators, convexity of their Berezin range and related questions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Berezin transform, Mellin transform and Toeplitz operators
• Reproducing kernels and Berezin symbols techniques in various questions of operator theory
• A reproducing kernel thesis for operators on Bergman-type function spaces
• Compactness characterization of operators in the Toeplitz algebra of the Fock space \(F^p_\alpha\)
• Numerical ranges as circular discs
• On a Beurling-Arveson type theorem for some functional Hilbert spaces and related questions
• Applications of reproducing kernels and Berezin symbols
• On the numerical range of a bounded operator
• Compact Toeplitz operators via the Berezin transform on bounded symmetric domains
• Composition operators and classical function theory
• Counterexamples to two variants of the Helson-Szegö theorem.
• A local weighted Axler-Zheng theorem in \(\mathbb{C}\)n
• The range of the Berezin transform
• On numerical radius and Berezin number inequalities for reproducing kernel Hilbert space
• Berezin symbols and Schatten-von Neumann classes
• Condition for the numerical range to contain an elliptic disc
• On the range of the Berezin transform
• The essential norm of operators on \({A^p_\alpha(\mathbb{B}_n)}\)
• Berezin number inequalities for operators
• Skew-symmetric and essentially unitary operators via Berezin symbols
• Closed range type properties of Toeplitz operators on the Bergman space and the Berezin transform
• Axler-Zheng type theorem on a class of domains in \(\mathbb C^n\)
• Berezin symbol and invertibility of operators on the functional Hilbert spaces
• An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
• Model spaces: A survey
• Hardy-Hilbert's inequality and power inequalities for Berezin numbers of operators
• Use of reproducing kernels and Berezin symbols technique in some questions of operator theory
• Numerical range and compressions of the shift
• A symbol calculus for Toeplitz operators
• Compact operators via the Berezin transform
• Compressions of the Shift on the Bidisk and their Numerical Ranges
• The Berezin transform and radial operators
• A simple proof of the elliptical range theorem
• Compactness of operators on the Bergman space of the Thullen domain
• Berezin number inequality for convex function in reproducing Kernel Hilbert Space
• Elementary proofs for some results on the circular symmetry of the numerical range
• The essential norm of operators in the Toeplitz algebra on $A^p(B_n)$
• On the numerical range of a matrix
• Shorter Notes: The Toeplitz-Hausdorff Theorem for Linear Operators

This page was built for publication: Convexity of the Berezin range