Berezin number and Berezin norm inequalities via Moore-Penrose inverse

2025/03/23 by Mahapatra, Saikat, Sen, Anirban, Birbonshi, Riddhick +1 · 1 citation
#47A05 #47B15 #47B32 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2503.17918

Abstract

In this article, we establish the Berezin number and Berezin norm inequalities for bounded linear operators on a reproducing kernel Hilbert space using the Moore-Penrose inverse. The inequalities obtained here refine and generalize the earlier inequalities.

Cited by

• An introduction of Berezin sectorial operators and its application to Berezin number inequalities

Related

• Inequalities involving Berezin norm and Berezin number
• A new norm on the space of reproducing kernel Hilbert space operators and Berezin number inequalities
• Reverse inequalities for the Berezin number of operators
• Berezin number inequalities for Hilbert space operators
• Some Berezin number inequalities for operator matrices