Article ID: MTJPAM-D-21-00068

Title: Berezin radius and Cauchy-Schwarz inequality


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-21-00068; Volume 5 / Issue 3 / Year 2023, Pages 16-22

Document Type: Research Paper

Author(s): Hamdullah Başaran a , Verda Gürdal b

aSüleyman Demirel University, Department of Mathematics, Isparta, Turkey

bSüleyman Demirel University, Department of Mathematics, Isparta, Turkey

Received: 23 November 2021, Accepted: 29 March 2022, Published: 29 April 2022.

Corresponding Author: Hamdullah Başaran (Email address: basaranhamdullah@hotmail.com)

Full Text: PDF

Abstract

In this manuscript, some refinements of the Cauchy-Schwarz inequality for contraction operators on the reproducing kernel Hilbert space are given in terms of the Berezin transform. We show several additional inequalities for the Berezin norm and Berezin radius of operators using these refinements.

Keywords: Cauchy-Schwarz inequality, Berezin transform, Berezin radius

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