A-Berezin Number Inequalities for 2 x 2 Operator Matrices

Zamani, Ali; Sahoo, Satyajit; Tapdigoglu, Ramiz; Garaev, Mubariz

doi:10.1007/s40840-024-01712-5

A-Berezin Number Inequalities for 2 x 2 Operator Matrices

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Zamani A., Sahoo S., Tapdigoglu R., Garaev M.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, vol.47, no.4, 2024 (SCI-Expanded)

Publication Type: Article / Article
Volume: 47 Issue: 4
Publication Date: 2024
Doi Number: 10.1007/s40840-024-01712-5
Journal Name: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

Let A be the 2 x 2 diagonal operator matrix determined by a positive Hilbert space operator A. We give several upper bounds for the A-Berezin number of 2 x 2 block matrices on a reproducing kernel Hilbert space and prove inequalities for the A-Berezin number of Hilbert space operators. Our results in this paper generalize and refine earlier the A-Berezin number inequalities.