Results 11 to 20 of about 375,843 (160)
Skew-symmetric and essentially unitary operators via Berezin symbols [PDF]
Open Mathematics, 2020 We characterize skew-symmetric operators on a reproducing kernel Hilbert space in terms of their Berezin symbols. The solution of some operator equations with skew-symmetric operators is studied in terms of Berezin symbols.
Altwaijry Najla +3 more
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Berezin Symbols on Lie Groups [PDF]
, 2018 In this paper we present a general framework for Berezin covariant symbols, and we discuss a few basic properties of the corresponding symbol map, with emphasis on its injectivity in connection with some problems in representation theory of nilpotent Lie groups.
Beltita, Ingrid +2 more
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Applications of Berezin symbols in summability theory and related problems
FilomatIn this article, using the reproducing kernel and Berezin symbol techniques we prove that a sequence is Ces?ro convergent, then it is Abel convergent. We prove criteria for Borel convergence of some sequences and series of complex numbers. Also, we answer if the Berezin transform of a bounded operator on the Dirichlet space D and the Fock space F(C ...
YAMANCI, Ulaş +2 more
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Some results related with statistical convergence and Berezin symbols
Journal of Mathematical Analysis and Applications, 2004 A functional Hilbert space is a Hilbert space \(\mathcal{H}\) of complex-valued functions on some set \(\Omega\) such that the evaluation functional \(f \to f(\lambda)\) is continuous for each \(\lambda \in \Omega\). Moreover, for each \(\lambda \in \Omega\) there exists a unique function \(k_{\lambda} \in \mathcal{H}\) such that \(f(\lambda) = (f, k_{\
Serpil Pehlivan
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Identification of Potential Biomarkers for Ryanodine Receptor 1 (RYR1) Mutation-Associated Myopathies Using Bioinformatics Approach. [PDF]
Dis Markers, 2022 Background. Myopathies related to Ryanodine receptor 1 (RYR1) mutation are the most common nondystrophy muscle disorder in humans. Early detection and diagnosis of RYR1 mutation‐associated myopathies may lead to more timely treatment of patients, which contributes to the management and preparation for malignant hyperthermia.
Wang X, Kong C, Liu P, Geng W, Tang H.
europepmc +2 more sources
Reproducing Kernels and Berezin Symbols Techniques in Various Questions of Operator Theory
Complex Analysis and Operator Theory, 2012 Given a functional Hilbert space, the author of the paper under review studies various problems with the help of the corresponding Berezin transform. The notions of Berezin number and Berezin set are introduced. The techniques are applied to the study of invariant subspaces and a uniqueness theorem related to the distance function is obtained.
M T Karaev
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Protective Role of Physical Exercise and Exercise-Induced FNDC5/Irisin in Combating Diabetes-Related Cognitive Impairment and Autonomic and Peripheral Neuropathies: A Comprehensive Review. [PDF]
J Diabetes ResThe rising prevalence of diabetes has been closely linked to increased mortality and morbidity, particularly as its complications become more widespread. Among the most challenging of these complications are cognitive impairments and diabetic neuropathies, which are neurodegenerative conditions that significantly diminish the quality of life in the ...
Poshtdar S, Ataei-Goujani H, Ahrabi A.
europepmc +2 more sources
Use of reproducing kernels and Berezin symbols technique in some questions of operator theory
Forum Mathematicum, 2012 We give in terms of Berezin symbols some characterizations for the operators belonging to the Schatten-von Neumann classes sigma(p), 0 < p < +infinity, which were motivated by the questions posed by Nordgren and Rosenthal [7]. Some other problems related with the multiplicative equality for Berezin symbols are also discussed.
exaly +5 more sources
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators [PDF]
Journal of Spectral Theory, 2022 This paper proves a probabilistic Weyl-law for the spectrum of randomly perturbed Berezin-Toeplitz operators, generalizing a result proven by Martin Vogel in 2020.
Izak Oltman
semanticscholar +1 more source
Some applications of Berezin θ-sequences and Berezin symbols
Filomat, 2021 We consider the so-called Berezin ?-sequence, where ? is an operator valued inner function, for operators on the vector valued Hardy space H2E (D), and study the invertibility of some operators on the model space K? = H2E ? ?H2E via Berezin ?-sequence. By applying of Berezin symbols technique the Toeplitz corona problem in the Bergman space
N. Altwaijry, M. Garayev, A. Baazeem
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