On Berezin norm and Berezin number inequalities for sum of operators-Reference-Cited by-同舟云学术

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On Berezin norm and Berezin number inequalities for sum of operators

Published:2024-01-01 Issue:1 Volume:57 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Altwaijry Najla¹,Feki Kais²,Minculete Nicusor³

Affiliation:

1. Department of Mathematics, College of Science, King Saud University , P.O. Box 2455 , Riyadh 11451 , Saudi Arabia

2. Laboratory Physics-Mathematics and Applications (LR/13/ES-22), Faculty of Sciences of Sfax, University of Sfax , Sfax 3018 , Tunisia

3. Department of Mathematics and Computer Science, Transilvania University of Braşov , Braşov, 500091 , Romania

Abstract

Abstract The aim of this study is to obtain several inequalities involving the Berezin number and the Berezin norm for various combinations of operators acting on a reproducing kernel Hilbert space. First, we present some bounds regarding the Berezin number associated with

W * Q + W * Q ′

{W}^{* }Q+{W}^{* }Q^{\prime}

, where

W

W

,

Q

Q

, and

Q ′

Q^{\prime}

are three bounded linear operators. Next, several Berezin norm and Berezin number inequalities for the sum of

n

n

operators are established.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/dema-2023-0159/pdf

Reference42 articles.

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2. M. Bakherad and U. Yamanci, New estimations for the Berezin number inequality, J. Inequal. Appl. 2020 (2020), 40, DOI: https://doi.org/10.1186/s13660-020-2307-0.

3. M. Bakherad, R. Lashkaripour, M. Hajmohamadi, and U. Yamanci, Complete refinements of the Berezin number inequalities, J. Math. Ineq. 13 (2019), no. 4, 1117–1128, DOI: https://doi.org/10.7153/jmi-2019-13-79.

4. M. T. Karaev and N. Sh. Iskenderov, Numerical range and numerical radius for some operators, Linear Alg. Appl. 432 (2010), 3149–3158, DOI: https://doi.org/10.1016/j.laa.2010.01.011.

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