Further refinements of the Berezin number inequalities on operators

YAMANCI U., Murat Karli I.

LINEAR & MULTILINEAR ALGEBRA, vol.70, no.20, pp.5237-5246, 2022 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 70 Issue: 20
  • Publication Date: 2022
  • Doi Number: 10.1080/03081087.2021.1910123
  • Journal Name: LINEAR & MULTILINEAR ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.5237-5246
  • Keywords: Berezin number, Berezin symbol, inequalities, reproducing kernel Hilbert space
  • Süleyman Demirel University Affiliated: Yes

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.