Improvements of Berezin number inequalities

DOI10.1080/03081087.2018.1538310OpenAlexW2963150202WikidataQ114641364 ScholiaQ114641364MaRDI QIDQ5134969

Monire Hajmohamadi, Mojtaba Bakherad, Rahmatollah Lashkaripour

Publication date: 18 November 2020

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

Full work available at URL: https://arxiv.org/abs/1805.03231

zbMATH Keywords

positive operatorBerezin symboloperator matrixBerezin numberoff-diagonal partHeinz means

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Related Items

Improvements of some Berezin radius inequalities ⋮ Berezin number inequalities of operators on reproducing kernel Hilbert spaces ⋮ Operator inequalities in reproducing kernel Hilbert spaces ⋮ Inequalities involving Berezin norm and Berezin number ⋮ Development of the Berezin number inequalities ⋮ Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number ⋮ Davis-Wielandt-Berezin radius inequalities of reproducing kernel Hilbert space operators ⋮ The weighted and the Davis-Wielandt Berezin number ⋮ Refinements of some Berezin number inequalities and related questions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Further refinements of the Berezin number inequalities on operators

Cites Work

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• Improved Young and Heinz inequalities for matrices
• Notes on some inequalities for Hilbert space operators
• Hardy type inequaltiy for reproducing kernel Hilbert space operators and related problems
• Some extensions of the Young and Heinz inequalities for matrices
• On numerical radius and Berezin number inequalities for reproducing kernel Hilbert space
• Berezin symbol and invertibility of operators on the functional Hilbert spaces
• Some Berezin number inequalities for operator matrices
• Reverses and variations of Heinz inequality
• QUANTIZATION
• Some generalizations of numerical radius on off-diagonal part of 2 × 2 operator matrices
• Some results on Berezin symbols
• Functional analysis proofs of Abel’s theorems
• Berezin number inequality for convex function in reproducing Kernel Hilbert Space
• COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS

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