Some inequality and Berezin number type inequalities

Volume 17, Issue 4, pp 180--190 https://dx.doi.org/10.22436/jnsa.017.04.02

Publication Date: October 04, 2024 Submission Date: May 11, 2024 Revision Date: July 16, 2024 Accteptance Date: August 27, 2024

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Authors

M. Gurdal - Department of Mathematics, ‎Suleyman Demirel University, ‎32260‎, ‎Isparta, Turkey. V. Stojiljkovic - Faculty of Science, ‎University of Novi Sad, ‎Trg Dositeja Obradovica 3, ‎21000 Novi Sad, ‎Serbia.

Abstract

‎In this paper‎, ‎we establish upper bounds that both extend and enhance known‎ ‎inequalities for the Berezin number of bounded linear operators and product of‎ ‎operators‎. ‎In particular‎, ‎this paper aims to establish new upper bounds on the Berezin number for operators on functional Hilbert spaces by introducing important improvements to the Buzano inequality‎. ‎Lastly‎, ‎a few associated‎ ‎upper bounds are also given‎. ‎

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Keywords

• Berezin norm
• Berezin number
• inequalities

MSC

•  47A30
•  47B63

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