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http://dx.doi.org/10.5831/HMJ.2021.43.3.523

BEREZIN NUMBER INEQUALITIES VIA YOUNG INEQUALITY  

Basaran, Hamdullah (Department of Mathematics, Suleyman Demirel University)
Gurdal, Mehmet (Department of Mathematics, Suleyman Demirel University)
Publication Information
Honam Mathematical Journal / v.43, no.3, 2021 , pp. 523-537 More about this Journal
Abstract
In this paper, we obtain some new inequalities for the Berezin number of operators on reproducing kernel Hilbert spaces by using the Hölder-McCarthy operator inequality. Also, we give refine generalized inequalities involving powers of the Berezin number for sums and products of operators on the reproducing kernel Hilbert spaces.
Keywords
bounded linear operator; Berezin number; Berezin symbol; Berezin number; positive operator; norm inequality; reproducing kernel Hilbert space;
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Times Cited By KSCI : 1  (Citation Analysis)
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