Results 141 to 150 of about 14,266 (165)

Inequalities related to Berezin norm and Berezin number of operators

2022
Summary: The Berezin symbol \(\widetilde{A}\) of an operator \(A\) on the reproducing kernel Hilbert space \(\mathcal{H}(\Omega)\) over some set \(\Omega\) with the reproducing kernel \(k_\lambda\) is defined by \[ \widetilde{A}(\lambda) = \left\langle A \widehat{k}_\lambda,\widehat{k}_\lambda \right\rangle,\; \lambda \in \Omega.
Basaran, Hamdullah, Huban, Mualla Birgul, GÜRDAL, Mehmet   +2 more
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Further Berezin Number and Berezin Norm Inequalities for Sums and Products of Operators

Complex Analysis and Operator Theory
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Guesba, Messaoud, Barik, Somdatta, Paul, Kallol   +2 more
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Inequalities for the Berezin number of operators and related questions

Complex Analysis and Operator Theory, 2021
The Berezin set and the Berezin number of an operator is a subset of the complex plane that is defined similarly to the numerical range of an operator. The numerical range of many operators has been studied extensively. In this paper, the authors study the properties of the Berezin set.
M. T. Garayev, M. W. Alomari
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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., Hassani, M., Omidvar, M. E., Moradi, H. R.   +3 more
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Further refinements of the Berezin number inequalities on operators

Linear and Multilinear Algebra, 2021
In this paper, we obtain some inequalities for the Berezin number of operators on reproducing kernel Hilbert spaces by using the Krein–Lin inequality and refinements of the Young inequality.
Ulaş Yamancı, İsmail Murat Karlı
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Berezin Number Inequalities for Sums and Products of Operators and Applications

Lobachevskii Journal of Mathematics
Messaoud Guesba
exaly   +3 more sources

Estimates for the Berezin number inequalities

Journal of Pseudo-Differential Operators and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guesba, Messaoud, Garayev, Mubariz
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On the Berezin number of operator matrices

Operators and Matrices
Summary: 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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Some novel inequalities for Berezin number of operators

Operators and Matrices
Summary: 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, Uslu, Duygu, YAMANCI, Ulaş   +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, Süleyman Demirel Üniversitesi. Fen Bilimleri Enstitüsü. Matematik Anabilim Dalı. issuing body 10117, Gürdal, Mehmet, 1976- thesis advisor 14209   +2 more
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