Berezin Number Inequalities for Sums and Products of Operators and Applications

We prove some new Berezin number inequalities for sums and products of operators acting on a reproducing kernel Hilbert space. Among other applications of our inequalities, we present refinements of the triangle inequality for the Berezin norm.

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2024-03, Vol.45 (3), p.1086-1096
Main Authors: Guesba, Messaoud, Kittaneh, Fuad
Format: Article
Language:English
Subjects:
Algebra
Analysis
Geometry
Hilbert space
Inequalities
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Operators
Probability Theory and Stochastic Processes
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Description
Summary:We prove some new Berezin number inequalities for sums and products of operators acting on a reproducing kernel Hilbert space. Among other applications of our inequalities, we present refinements of the triangle inequality for the Berezin norm.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080224600602