Numerical radius, Berezin number, and Berezin norm inequalities for sums of operators

Authors

NAJLA ALTWAIJRY
KAIS FEKI
NICUSOR MINCULETE

Abstract

The purpose of this article is to explore various inequalities pertaining to the numerical radius of operators in a Hilbert space. Additionally, we present several bounds for the Berezin number and Berezin norm of operators that act on a reproducing kernel Hilbert space. Finally, we establish a necessary and sufficient condition for the triangle inequality related to the Berezin number to hold.

DOI

10.55730/1300-0098.3442

Keywords

Sum, inequality, numerical radius, Berezin number, Berezin norm

First Page

1481

Last Page

1497

Recommended Citation

ALTWAIJRY, NAJLA; FEKI, KAIS; and MINCULETE, NICUSOR (2023) "Numerical radius, Berezin number, and Berezin norm inequalities for sums of operators," Turkish Journal of Mathematics: Vol. 47: No. 5, Article 13. https://doi.org/10.55730/1300-0098.3442
Available at: https://journals.tubitak.gov.tr/math/vol47/iss5/13