Berezin Radius Inequalities of Functional Hilbert Space Operators

Year 2023, Volume: 6 Issue: 2, 107 - 116, 30.06.2023

Hamdullah Başaran , Mehmet Gürdal

https://doi.org/10.33401/fujma.1254301

Abstract

We investigate new upper bounds for the Berezin radius and Berezin norm of $2\times2$ operator matrices using the Cauchy-Buzano inequality, and we propose a required condition for the equality case in the triangle inequalities for the Berezin norms. We also show various Berezin radius inequalities for matrices with $2\times2$ operators.

Keywords

Berezin norm, Berezin radius, Functional Hilbert space

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