Some New Berezin Number Inequalities for 2×2 Operator Matrices

Guesba, Messaoud; Kittaneh, Fuad; Yamanc, Ulaş

doi:10.1007/s10013-024-00714-x

Some New Berezin Number Inequalities for 2×2 Operator Matrices

Guesba M., Kittaneh F., Yamanc U.

Vietnam Journal of Mathematics, 2024 (ESCI, Scopus)

Publication Type: Article / Article
Publication Date: 2024
Doi Number: 10.1007/s10013-024-00714-x
Journal Name: Vietnam Journal of Mathematics
Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, MathSciNet, zbMATH
Keywords: 47A08, 47A12, 47A30, 47B15, Berezin number, Berezin symbol, Inequalities, Reproducing kernel Hilbert space
Süleyman Demirel University Affiliated: Yes

Abstract

In this paper, we consider bounds for the Berezin numbers of operator matrices. More precisely, we prove some new Berezin number inequalities for 2×2 off-diagonal block operators. Some other related results are also presented.