SOME NOVEL INEQUALITIES FOR BEREZIN NUMBER OF OPERATORS


YAMANCI U., Guesba M., Uslu D.

Operators and Matrices, vol.18, no.2, pp.441-455, 2024 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 18 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.7153/oam-2024-18-27
  • Journal Name: Operators and Matrices
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.441-455
  • Keywords: Berezin number, Berezin symbol, inequalities, reproducing kernel Hilbert space
  • Süleyman Demirel University Affiliated: Yes

Abstract

In this paper, some Berezin number inequalities of bounded linear operators defined on a reproducing kernel Hilbert space are developed which generalize and refine the earlier related inequalities. Some applications of the newly obtained inequalities are also provided.