- Fundamental Journal of Mathematics and Applications
- Volume:6 Issue:2
- Berezin Radius Inequalities of Functional Hilbert Space Operators
Berezin Radius Inequalities of Functional Hilbert Space Operators
Authors : Hamdullah BAŞARAN, Mehmet GÜRDAL
Pages : 107-116
Doi:10.33401/fujma.1254301
View : 44 | 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