Inequalities for the Berezin number of operators and related questions
type: Item
instance of: scholarly article
title: Inequalities for the Berezin number of operators and related questions
published in: Complex Analysis and Operator Theory
publication date: 2021-05-28T00:00:00Z
review text: The Berezin set and the Berezin number of an operator is a subset of the complex plane that is defined similarly to the numerical range of an operator. The numerical range of many operators is studied extensively. In this paper, the authors study the properties of the Berezin set.
reviewed by: Yunus E. Zeytuncu
Mathematics Subject Classification ID: 47B32
Mathematics Subject Classification ID: 47B06
Mathematics Subject Classification ID: 47B34
zbMATH DE Number: 7352448
zbMATH Keywords: Berezin symbol
zbMATH Keywords: Berezin number
zbMATH Keywords: self-adjoint operators
zbMATH Keywords: Hilbert space
zbMATH Keywords: Toeplitz operator
author: Mubariz T. Karaev
author: M. W. Alomari
MaRDI profile type: Publication
full work available at URL: s11785-021-01078-7
OpenAlex ID: W3121343400
cites work: An invariant volume-mean-value property
cites work: Pompeiu-Čebyšev type inequalities for selfadjoint operators in Hilbert spaces
cites work: Theory of Reproducing Kernels
cites work: Q4376701
cites work: Some Berezin number inequalities for operator matrices
cites work: Berezin number inequalities for operators
cites work: A symbol calculus for Toeplitz operators
cites work: Q2915395
cites work: Berezin transform and Weyl-type unitary operators on the Bergman space
cites work: Q5603515
cites work: Q5534422
cites work: Q3838092
cites work: Q3724957
cites work: Čebyšev's type inequalities for functions of selfadjoint operators in Hilbert spaces
cites work: Operator Inequalities of the Jensen, Čebyšev and Grüss Type
cites work: Toeplitz operators and the Berezin transform on \(H^ 2\)
cites work: Bases of reproducing kernels in de Branges spaces
cites work: The Theory ofH(b) Spaces
cites work: Cebysev’s type inequalities and power inequalities for the Berezin number of operators
cites work: Toeplitz operators in \(n\)-dimensions
cites work: Q5521075
cites work: Berezin symbols and Schatten-von Neumann classes
cites work: On the Berezin symbol
cites work: On the Riccati equations
cites work: Use of reproducing kernels and Berezin symbols technique in some questions of operator theory
cites work: Reproducing kernels and Berezin symbols techniques in various questions of operator theory
cites work: Q3012627
cites work: Reproducing kernels, Engliš algebras and some applications
cites work: Berezin number of operators and related questions
cites work: Some results on Berezin symbols
cites work: Notes on some inequalities for linear operators
cites work: The Berezin Symbol and Multipliers of Functional Hilbert Spaces
cites work: Norm inequalities for certain operator sums
cites work: Notes on some inequalities for Hilbert space operators
cites work: Q3713006
cites work: Q4317809
cites work: Q3908070
cites work: Symmetrizable completely continuous linear transformations in Hilbert space
cites work: Q4649265
cites work: Q4352384
cites work: Q5213139
cites work: Q3447431
DOI: 10.1007/S11785-021-01078-7
description: scientific article; zbMATH DE number 7352448