Berezin symbol inequalities via Grüss type inequalities and related questions

DOI10.55730/1300-0098.3137OpenAlexW4285273138MaRDI QIDQ5102143

Najla A. Altwaijry, Ramiz Tapdigoglu, Mubariz T. Garayev

Publication date: 6 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3137

zbMATH Keywords

selfadjoint operatorreproducing kernel Hilbert spaceGrüss inequalityBerezin symbol

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Cites Work

• Reproducing kernels and Berezin symbols techniques in various questions of operator theory
• A generalization of Grüss's inequality in inner product spaces and applications
• Toeplitz operators and the Berezin transform on \(H^ 2\)
• The Berezin Symbol and Multipliers of Functional Hilbert Spaces
• On reverse Schwarz, Bessel, Grüss and Hadamard inequalities in inner product spaces
• Quasi Grüss' type inequalities for continuous functions of selfadjoint operators in Hilbert spaces
• COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
• Theory of Reproducing Kernels
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