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Berezin Number, Grüss-Type Inequalities and Their Applications
Bulletin of the Malaysian Mathematical Sciences Society, 2019The authors use the usual operator techniques to present some Berezin number inequalities related to the product of two operators as well as the Grüss inequality.
Ulaş Yamancı, Mehmet Gürdal
exaly +4 more sources
New estimates for the Berezin number and Berezin norm
This paper intends to establish several inequalities employing the Cartesian decomposition of the operator. We used the results to determine the Berezin number inequalities. Our results extend and improve some earlier inequalities.Nourbakhsh, S. +3 more
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On the Berezin number of operator matrices
Operators and MatricesSummary: Scalar quantities associated with Hilbert-space operators have attracted the attention of numerous researchers due to their role in understanding the geometry of the \(C^*\)-algebra of bounded linear operators on a Hilbert space. In this paper, we explore the Berezin number of operator matrices, and present several new relations that simulate ...
Guesba, Messaoud, Sababheh, Mohammad
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Estimates for the Berezin number inequalities
Journal of Pseudo-Differential Operators and ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guesba, Messaoud, Garayev, Mubariz
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Some novel inequalities for Berezin number of operators
Operators and MatricesSummary: In this paper, some Berezin number inequalities of bounded linear operators defined on a reproducing kernel Hilbert space are developed which generalize and refine the earlier related inequalities. Some applications of the newly obtained inequalities are also provided.
Guesba, Messaoud +2 more
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Berezin sayıları için kuvvet eşitsizliği = Power inequality for berezin numbers / [PDF]
Tez (Yüksek Lisans) - Süleyman Demirel Üniversitesi, Fen Bilimleri Enstitüsü, Matematik Anabilim Dalı, 2017.
Okudan, Arzu, 1989- 159212 author +2 more
openaire
2022
Smooth functions are associated with operators on Hilbert spaces of analytic functions through the Berezin transform. The Berezin symbol and the Berezin number of an operator A on the Hilbert functional space ℋ(Ω) over some set Ω with the reproducing kernel are defined, respectively, by (Formula presented) By using this bounded function Ã, we present ...
Başaran, Hamdullah, GÜRDAL, Mehmet
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Smooth functions are associated with operators on Hilbert spaces of analytic functions through the Berezin transform. The Berezin symbol and the Berezin number of an operator A on the Hilbert functional space ℋ(Ω) over some set Ω with the reproducing kernel are defined, respectively, by (Formula presented) By using this bounded function Ã, we present ...
Başaran, Hamdullah, GÜRDAL, Mehmet
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Refinements of some Berezin number inequalities and related questions
Journal of Analysis, 2022Ulaş Yamancı
exaly