Further results on Berezin number inequalities and related problems

In this article, we obtain certain Berezin number inequalities which extend certain earlier existing results in the literature. Also, we give some reverse Berezin number inequalities for normal operators on reproducing kernel Hilbert spaces. Moreover, we characterize the projection operators and the partial isometry operators in terms of Berezin number.

Automated summary

In this article, we extend certain earlier results in the literature by obtaining Berezin number inequalities. We also provide reverse Berezin number inequalities for normal operators on reproducing kernel Hilbert spaces. Furthermore, we characterize projection operators and partial isometry operators in terms of Berezin number.