Refinements of Kantorovich type, Schwarz and Berezin number inequalities
DOI:
https://doi.org/10.17398/2605-5686.35.1.1Keywords:
Reproducing kernel Hilbert space, Berezin symbol, Berezin number, Kantorovich type inequality, C∗ -moduleAbstract
In this article, we use Kantorovich and Kantorovich type inequalities in order to prove some new Berezin number inequalities. Also, by using a refinement of the classical Schwarz inequality, we prove Berezin number inequalities for powers of f (A), where A is self-adjoint operator on the Hardy space H 2(D) and f is a positive continuous function. Some related questions are also discussed.
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