More Correct Berezin Symbol Inequalities
The purpose of this research is to show bounds for some Berezin number inequalities in an innovative approach. Some inequalities have been proven using the improvement of the Hermite-Hadamard inequality.
Hamdullah Başaran, Mehmet Gurdal
doaj +3 more sources
A characterization of operators via Berezin symbol and related questions
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.
Yamancı Ulaş
doaj +4 more sources
Identification of Potential Biomarkers for Ryanodine Receptor 1 (RYR1) Mutation-Associated Myopathies Using Bioinformatics Approach. [PDF]
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
A Method for Weight Multiplicity Computation Based on Berezin Quantization [PDF]
Let G be a compact semisimple Lie group and T be a maximal torus of G. We describe a method for weight multiplicity computation in unitary irreducible representations of G, based on the theory of Berezin quantization on G/T.
David Bar-Moshe
doaj +7 more sources
New Berezin symbol inequalities for operators on the reproducing kernel Hilbert space [PDF]
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 \(\|\cdot\|_{\mathcal{H}}\)
Ramiz Tapdigoglu
semanticscholar +3 more sources
The Berezin symbol and multipliers of functional Hilbert spaces [PDF]
Summary: This paper focuses on a multiplicative property of the Berezin symbol \(\widetilde A\), of a given linear map \(A: {\mathcal H}\mapsto {\mathcal H}\), where \(\mathcal H\) is a functional Hilbert space of analytic functions. We show \(\widetilde{AB}= \widetilde A\widetilde B\) for all \(B\) in \({\mathcal B}({\mathcal H})\) if and only if \(A\)
S. Kilic
semanticscholar +3 more sources
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]
The 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
Berezin symbol inequalities via Grüss type inequalities and related questions
Final Version: 11.03.2022 Abstract: We prove some new inequalities for Berezin symbols of operators via classical Grüss type inequalities.
Ramiz Tapdigoglu +2 more
semanticscholar +4 more sources
Berezin-Toeplitz quantization and Berezin symbols for arbitrary compact Kaehler manifolds [PDF]
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.
Schlichenmaier, Martin
core +6 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Karaev
semanticscholar +2 more sources

