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Emerging Technologies for the Diagnosis of Urinary Tract Infections: Advances in Molecular Detection and Resistance Profiling. [PDF]
Baimakhanova B +11 more
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A Gentle Introduction to Lattice Field Theory. [PDF]
Seiler E.
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Some new relations between the Berezin number and the Berezin norm of operators
Rocky Mountain Journal of Mathematics, 2022For a bounded linear operator \(A\) on a reproducing kernel Hilbert space with reproducing kernel \(K(z,w)\), the Berezin symbol, Berezin norm and Berezin number of \(A\) are defined, respectively, by \[ \tilde A(w):=\langle Ak_w,k_w\rangle, \quad \|A\|_{Ber} := \sup_w \|Ak_w\|, \quad \operatorname{ber}(A) :=\sup_w |\tilde A(w)|, \] where \(k_w(z):=K(z,
Ramiz Tapdıgoğlu
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On Berezin Number Inequalities for Operator Matrices
Acta Mathematica Sinica, English Series, 2021For a bounded linear operator, acting in the reproducing kernel Hilbert space \(\mathcal{H}=\mathcal{H}(\Omega)\) over some set \(\Omega\), its Berezin symbol \(\tilde{A}\) is defined by \(\tilde{A}(\lambda)=\langle A\tilde{k}_\lambda, \tilde{k}_\lambda \rangle\), where \(\tilde{k}_\lambda\) the normalized reproducing kernel of \(\mathcal{H}\).
Satyajit Sahoo +2 more
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Refinements of some inequalities involving Berezin norms and Berezin number and related questions
Annali Dell'Universita Di Ferrara, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mubariz Garayev, Messaoud Guesba
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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.
Mehmet Gürdal
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Berezin Number and Numerical Radius Inequalities
Vietnam Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anirban Sen, Kallol Paul
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The weighted and the Davis-Wielandt Berezin number
Operators and Matrices, 2023Summary: A functional Hilbert space is the Hilbert space of complex-valued functions on some set \(\Theta \subseteq \mathbb{C}\) that the evaluation functionals \(\varphi_\lambda (f) = f\ (\lambda)\), \(\lambda \in \Theta\) are continuous on \(\mathcal{H}\). The Berezin number of an operator \(T\) is defined by \(\mathbf{ber} (T) =\sup\limits_{\lambda \
Garayev, Mubariz T. +2 more
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