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On Berezin norm and Berezin number inequalities for sum of operators

Altwaijry Najla, Feki Kais, Minculete Nicusor

Demonstratio Mathematica

2024

Vol. 57, nr 1

art. no. 20230159

The aim of this study is to obtain several inequalities involving the Berezin number and the Berezin norm for various combinations of operators acting on a reproducing kernel Hilbert space. First, we present some bounds regarding the Berezin number associated with W∗Q+W∗Q' , where W , Q , and Q' are three bounded linear operators. Next, several Berezin norm and Berezin number inequalities for the sum of n operators are established.