Some operator inequalities associated with Kantorovich and Hölder–McCarthy inequalities and their applications

DOI10.3906/mat-1811-10zbMath1486.47030OpenAlexW2910795602MaRDI QIDQ5742956

A. Güncan, Mehmet Gürdal, Hamdullah Başaran

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1811-10

zbMATH Keywords

positive operatorreproducing kernel Hilbert spaceBerezin symbolBerezin numberHeinz-Kato inequalityKantorovich-type inequalityHölder-McCarthy-type inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Inequalities for sums, series and integrals (26D15)

Related Items (11)

New Berezin symbol inequalities for operators on the reproducing kernel Hilbert space ⋮ Berezin number inequalities involving superquadratic functions ⋮ Upper and lower bounds of the AA-Berezin number of operators ⋮ Davis-Wielandt-Berezin radius inequalities of reproducing kernel Hilbert space operators ⋮ NEW BEREZIN RADIUS UPPER BOUNDS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some inequalities involving Berezin symbols of operator means and related questions ⋮ New estimations for the Berezin number inequality ⋮ Davis-Wielandt-Berezin radius inequalities via Dragomir inequalities

Cites Work

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• Reproducing kernels and Berezin symbols techniques in various questions of operator theory
• On some numerical characteristics of operators
• Some results for operators on a model space
• Applications of reproducing kernels and Berezin symbols
• Hardy type inequaltiy for reproducing kernel Hilbert space operators and related problems
• Toeplitz operators and the Berezin transform on \(H^ 2\)
• Hardy-Hilbert's inequality and power inequalities for Berezin numbers of operators
• Distance estimates, norm of Hankel operators and related questions
• Berezin number inequality for convex function in reproducing Kernel Hilbert Space
• Some concrete operators and their properties
• Theory of Reproducing Kernels

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