$$\mathbb {A}$$ -$2\times 2$$ 运算矩阵的贝雷津数不等式

IF 1 3区数学 Q1 MATHEMATICS

Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-05-28 DOI:10.1007/s40840-024-01712-5

Ali Zamani, Satyajit Sahoo, Ramiz Tapdigoglu, Mubariz Garaev

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引用次数: 0

摘要

让 $\mathbb {A}$ 是由正希尔伯特空间算子 A 确定的对角算子矩阵。我们给出了再现核希尔伯特空间上 $2\times 2$ 块矩阵的 $\mathbb {A}$-Berezin 数的几个上界，并证明了希尔伯特空间算子的 A-Berezin 数不等式。本文的结果概括并完善了之前的 A-Berezin 数不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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$$\mathbb {A}$$ -Berezin Number Inequalities for $$2\times 2$$ Operator Matrices

Let $\mathbb {A}$ be the $2\times 2$ diagonal operator matrix determined by a positive Hilbert space operator A. We give several upper bounds for the $\mathbb {A}$-Berezin number of $2\times 2$ block matrices on a reproducing kernel Hilbert space and prove inequalities for the A-Berezin number of Hilbert space operators. Our results in this paper generalize and refine earlier the A-Berezin number inequalities.

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来源期刊

Bulletin of the Malaysian Mathematical Sciences Society 数学-数学

CiteScore

2.40

自引率

8.30%

发文量

176

审稿时长

3 months

期刊介绍： This journal publishes original research articles and expository survey articles in all branches of mathematics. Recent issues have included articles on such topics as Spectral synthesis for the operator space projective tensor product of C*-algebras; Topological structures on LA-semigroups; Implicit iteration methods for variational inequalities in Banach spaces; and The Quarter-Sweep Geometric Mean method for solving second kind linear fredholm integral equations.