On some logarithmic submajorisation inequalities of operators in finite von Neumann algebras

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-29 DOI:10.1016/j.jmaa.2025.129735

Ruifeng Sun, Jing Yang, Xingpeng Zhao

引用次数: 0

Abstract

In this paper, we prove some logarithmic submajorisation inequalities of operators in finite von Neumann algebras. In particular, the logarithmic submajorisation inequalities due to Boutata-Hirzallah-Kittaneh [4] are extended to the case of operators in a finite von Neumann algebra.

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有限von Neumann代数中算子的对数次幂不等式

本文证明了有限von Neumann代数中算子的对数次多数不等式。特别地，将由bouatta - hirzallah - kittaneh[4]引起的对数次多数不等式推广到有限von Neumann代数中算子的情况。

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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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.