On the Berezin number of operators on the reproducing kernel of Hilbert space and related questions

Ulaş Yamancı; Ismail M. Karlı

doi:10.3842/umzh.v74i4.7330

Ulaş Yamancı Department of Statistics, Suleyman Demirel University, Isparta, Turkey
Ismail M. Karlı Department of Statistics, Suleyman Demirel University, Isparta, Turkey

DOI: https://doi.org/10.3842/umzh.v74i4.7330

Keywords: Berezin number, Berezin symbol, Berezin norm, reproducing kernel Hilbert space, inequalities

Abstract

UDC 517.956

We obtain some new inequalities for the Berezin number of operators via the Cauchy–Schwarz-type inequalities. Some other related questions are also discussed.

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