Berezin Radius Inequalities of Functional Hilbert Space Operators

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

References

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