Results 21 to 30 of about 374,962 (187)
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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A-Davis-Wielandt-Berezin radius inequalities
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 We consider operator $V$ on the reproducing kernel Hilbert space $\mathcal{H}=\mathcal{H}(\Omega)$ over some set $\Omega$ with the reproducing kernel $K_{\mathcal{H},\lambda}(z)=K(z,\lambda)$ and define A-Davis-Wielandt-Berezin radius $\eta_{A}(V)$ by ...
Verda Gürdal, M. Huban
semanticscholar +1 more source
Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 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 ...
Mehmet Gürdal +2 more
doaj +1 more source
Advanced refinements of Berezin number inequalities
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 For a bounded linear operator $A$ on a functional Hilbert space $\mathcal{H}\left( \Omega\right) $, with normalized reproducing kernel $\widehat {k}_{\eta}:=\frac{k_{\eta}}{\left\Vert k_{\eta}\right\Vert _{\mathcal{H}}},$ the Berezin symbol and Berezin ...
M. Gürdal, Hamdullah Başaran
semanticscholar +1 more source
REVERSE INEQUALITIES FOR THE BEREZIN NUMBER OF OPERATORS [PDF]
Proceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan, 2021 For a bounded linear operator A on a reproducing kernel Hilbert space H (Ω), with normalized reproducing kernel b k λ = k λ k k λ k , the Berezin symbol, Berezin number and Berezin norm are defined respectively by e A ( λ ) = h A b k λ , b k λ i , ber ( A
M. Garayev, H. Guediri, N. Altwaijry
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Applications of Alughte Transform for Berezin Radius Inequalities
International Conference on Pioneer and Innovative Studies, 2023 – In functional analysis, linear operators induced by functions are frequently encountered; thesecontain Hankel operators, constitution operators, and Toeplitz operators. The symbol of the resultantoperator is another name for the inciting function.
Hamdullah Başaran, M. Gürdal
semanticscholar +1 more source
The nation in bronze and granite: Creating national monuments in post‐Soviet Bishkek
Nations and Nationalism, Volume 29, Issue 2, Page 648-668, April 2023., 2023 Abstract Scholars of nationalism have long looked to material forms of symbolic power to understand the politics and cultures of nations, and national monuments specifically have been studied as reflections of ideological programmes of political regimes. However, these approaches have paid insufficient attention to processes of creation.
Moira O'Shea
wiley +1 more source
Berezin number inequalities via convex functions
Filomat, 2022 The Berezin symbol ?A of an operator A on the reproducing kernel Hilbert space H (?) over some set ? with the reproducing kernel k? is defined by ? (?) = ?A k?/||k?||, k?/||k?||?, ? ? ?. The Berezin number of an operator A is defined by ber(A) := sup ?
M. Huban, Hamdullah Başaran, M. Gürdal
semanticscholar +1 more source
Fredholm and Schatten Class Operators on Bergman Spaces with Exponential Weights
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 In this paper, we give a characterization of Fredholmness of the Toeplitz operators on the Bergman spaces Aφp with exponential weights in D when 0 < p < ∞. Also, we obtain the sufficient and necessary conditions which the Toeplitz and Hankel operators on Aφ2 belong to h‐Schatten class, where h is a continuous increasing convex function.
Xuedi Ma +3 more
wiley +1 more source
Berezin Symbols and Spectral Measures of Representation Operators [PDF]
Complex Analysis and Operator Theory, 2021 Let $G$ be a Lie group with Lie algebra $\mathfrak g$ and let $ $ be a unitary representation of $G$ realized on a reproducing kernel Hilbert space. We use Berezin quantization to study spectral measures associated with operators $-id (X)$ for $X\in {\mathfrak g}$. As an application, we show how results about contractions of Lie group representations
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