Results 21 to 30 of about 8,614,347 (174)
Complete refinements of the Berezin number inequalities [PDF]
Journal of Mathematical Inequalities, 2019 In this paper, several refinements of the Berezin number inequalities are obtained. We generalize inequalities involving powers of the Berezin number for product of two operators acting on a reproducing kernel Hilbert space $\mathcal H=\mathcal H(Ω)$ and also improve them.
Hajmohamadi, Monire +3 more
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Berezin Number Inequality for Increasing Operator Convex Function [PDF]
, 2021 Normalleştirilmiş $K_{\lambda}:=\frac{k_{\lambda}}{\left\Vert k_{\lambda}\right\Vert_{\mathcal{H}}}$, üretici çekirdekli $\mathcal{H}\left( \Omega\right) $, Hilbert uzayı üzerinde $A$ sınırlı lineer operatör için Berezin sembolü ve Berezin sayısı ...
Mualla Birgül HUBAN +5 more
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Numerical radius, Berezin number, and Berezin norm inequalities for sums of operators
Turkish Journal of Mathematics, 2023 The purpose of this article is to explore various inequalities pertaining to the numerical radius of operators in a Hilbert space. Additionally, we present several bounds for the Berezin number and Berezin norm of operators that act on a reproducing kernel Hilbert space.
Altwaijry, Najla +2 more
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Convolutions for Berezin quantization and Berezin-Lieb inequalities [PDF]
, 2018 Concepts and results from quantum harmonic analysis, such as the convolution between functions and operators or between two operators, are identified as the appropriate setting for Berezin quantization and Berezin-Lieb inequalities. Based on this insight,
Luef, Franz, Skrettingland, Eirik
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On some numerical characteristics of operators
Arab Journal of Mathematical Sciences, 2015 We investigate some numerical characteristics of Toeplitz operators including the numerical range, maximal numerical range and maximal Berezin set. Further, we establish an inequality for the Berezin number of an arbitrary operator on the Hardy–Hilbert ...
M. Gürdal +3 more
doaj +1 more source
Some Berezin number inequalities for operator matrices [PDF]
, 2018 summary:The Berezin symbol $\tilde {A}$ of an operator $A$ acting on the reproducing kernel Hilbert space ${\mathcal H}={\mathcal H}(\Omega )$ over some (nonempty) set is defined by $\tilde {A}(\lambda )=\langle A\hat {k}_{\lambda },\hat {k}_{\lambda ...
Mojtaba Bakherad, Bakherad, Mojtaba
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Improvements of Berezin number inequalities [PDF]
Linear and Multilinear Algebra, 2018 In this paper, we generalize several Berezin number inequalities involving product of operators. For instance, we show that if $A, B$ are positive operators and $X$ is any operator, then \begin{align*} \textbf{ber}^{r}(H_α(A,B))&\leq\frac{\|X\|^{r}}{2}\textbf{ber}(A^{r}+B^{r})&\leq\frac{\|X\|^{r}}{2}\textbf{ber}(αA^{r}+(1-α)B^{r})+\textbf{ber}((
Hajmohamadi, Monire +2 more
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Some extended Berezin number inequalities
Filomat, 2021 We present generalized extensions of Berezin number inequalities involving the Euclidean Berezin number and f-connection of operators.
Satyajit Sahoo, Mojtaba Bakherad
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Berezin-Toeplitz Quantization and Berezin Transform [PDF]
, 2000 In this lecture results on the Berezin-Toeplitz quantization of arbitrary compact quantizable Kähler manifolds are presented. These results are obtained in joint work with M. Bordemann and E. Meinrenken.
Schlichenmaier, Martin +1 more
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On the inverse power inequality for the Berezin number of operators [PDF]
Journal of Mathematical Inequalities, 2018 The Berezin symbol (A) over tilde of operator A acting on the reproducing kernel Hilbert space H =H(Omega) over some set Omega is defined ...
Garayev, Mubariz +2 more
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