Further refinements of the Berezin number inequalities on operators

YAMANCI U. , Murat Karli I.

LINEAR & MULTILINEAR ALGEBRA, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2021
  • Doi Number: 10.1080/03081087.2021.1910123
  • Title of Journal : LINEAR & MULTILINEAR ALGEBRA

Abstract

In this paper, we obtain some inequalities for the Berezin number of operators on reproducing kernel Hilbert spaces by using the Krein-Lin inequality and refinements of the Young inequality. Also, we give upper bounds for ber(2)(A) - ber(A(2)) on reproducing kernel Hilbert spaces.