Berezin Radius Inequalities of Functional Hilbert Space Operators

Authors : Hamdullah BAŞARAN, Mehmet GÜRDAL

Pages : 107-116

Doi:10.33401/fujma.1254301

View : 45 | Download : 91

Publication Date : 2023-06-30

Article Type : Research Paper

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