Results 41 to 50 of about 187 (131)

Local limits in p$p$‐adic random matrix theory

Proceedings of the London Mathematical Society, Volume 129, Issue 3, September 2024.
Abstract We study the distribution of singular numbers of products of certain classes of p$p$‐adic random matrices, as both the matrix size and number of products go to ∞$\infty$ simultaneously. In this limit, we prove convergence of the local statistics to a new random point configuration on Z$\mathbb {Z}$, defined explicitly in terms of certain ...
Roger Van Peski
wiley   +1 more source

A characterization of operators via Berezin symbol and related questions

Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2023
Abstract In this paper, we characterize the hyponormal operators with regard to Berezin symbol and reproducing kernel. Also, we demonstrate several Berezin number inequalities for bounded linear operators.
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New Berezin symbol inequalities for operators on the reproducing kernel Hilbert space [PDF]

Operators and Matrices, 2021
Let \(\mathcal{H}\) be an infinite-dimensional Hilbert space of complex-valued functions on \(\Omega\), a subset of a topological space \(X\), \((\mathcal{B}(\mathcal{H}),\|\cdot\|_{\mathcal{H}}, \langle\cdot,\cdot\rangle_{\mathcal{H}})\) be the Banach algebra of bounded operators on \(\mathcal{H}\) and endowed with the norm \(\|\cdot\|_{\mathcal{H}}\)
openaire   +2 more sources

Radicalization to the right, secular (ish) pandemic politics and the normalization of the Greek Cypriot far right

Nations and Nationalism, Volume 30, Issue 3, Page 441-457, July 2024.
Abstract One of the many dimensions of the global tussle surrounding the Covid‐19 pandemic has been the rise of right‐wing radicalization. In this article, we investigate whether the pandemic offered an opportunity for the Greek Cypriot far‐right party, ELAM, to increase its visibility as an opposition force and in what ways.
Yiannos Katsourides, Leandros Savvides
wiley   +1 more source

Berezin-Toeplitz quantization and Berezin symbols for arbitrary compact Kaehler manifolds

, 1999
For phase-space manifolds which are compact Kaehler manifolds relations between the Berezin-Toeplitz quantization and the quantization with the help of Berezin's coherent states and symbols are studied. First the results on the Berezin-Toeplitz quantization of arbitrary compact Kaehler manifolds due to Bordemann, Meinrenken and Schlichenmaier are ...
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Invariant subspaces of operators via Berezin symbols and Duhamel product

Turkish Journal of Mathematics, 2023
Summary: The Berezin symbol \(\tilde{A}\) 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 \[ \tilde{A}(\lambda) = \left\langle A\frac{k_\lambda}{\|k_\lambda\|}, \frac{k_\lambda}{\|k_\lambda\|}\right\rangle, \lambda\in\Omega. \] We study
openaire   +1 more source

Description of Bloch spaces, weighted Bergman spaces and invariant subspaces, and related questions

Kuwait Journal of Science, 2016
Let D be the unit disc of complex plane C, and H=Hol(D) the class of functions analytic in D. Recall that an f∈Hol(D) is said to belong to the Bloch space B=B(D) if ‖f‖_{B}:=sup_{z∈D}(1-|z|²)|f′(z)|
Mübariz T. Garayev, Mehmet Gürdal, Ulaş Yamancı   +2 more
doaj  

On some problems related to Berezin symbols

Comptes Rendus. Mathématique, 2005
The following problem was formulated by Zorboska [Proc. Amer. Math. Soc. 131 (2003) 793–800]: It is not known if the Berezin symbols of a bounded operator on the Bergman space La2(D) must have radial limits almost everywhere on the unit circle. In this Note we solve this problem in the negative, showing that there is a concrete class of diagonal ...
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Description of invariant subspaces in terms of Berezin symbols

TURKISH JOURNAL OF MATHEMATICS, 2018
Summary: We consider the stretching operator \( T_{w}f) (z) =f(wz)\) and the multiple shift operator \(S^{n}f=z^{n}f\) on the Hardy spaces \( H^{p}(\mathbb{D})\) (\( 1\leq ...
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On the summability methods of logarithmic type and the Berezin symbol

TURKISH JOURNAL OF MATHEMATICS, 2018
Summary: We prove by means of the Berezin symbols some theorems for the \(\left( L\right) \)-summability method for sequences and series. Also, we prove a new Tauberian-type theorem for \(\left( L\right) \)-summability.
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