A generalized Hölder-type inequalities for measurable operators

被引：0

作者：

Yazhou Han

Jingjing Shao

机构：

[1] Xinjiang University,College of Mathematics and Systems Science

[2] Ludong University,School of Mathematics and Statistics Sciences

来源：

Journal of Inequalities and Applications | / 2020卷

关键词：

Measurable operator; Von Neumann algebra; Symmetric space; Hölder inequality; 46L51; 46L52;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove a generalized Hölder-type inequality for measurable operators associated with a semi-finite von Neumann algebra which is a generalization of the result shown by Bekjan (Positivity 21:113–126, 2017). This also provides a generalization of the unitarily invariant norm inequalities for matrix due to Bhatia–Kittaneh, Horn–Mathisa, Horn–Zhan and Zou under a cohyponormal condition.

引用

共 22 条

[21] Structure of derivations on various algebras of measurable operators for type I von Neumann algebras
Albeverio, S.
Ayupov, Sh. A.
Kudaybergenov, K. K.
JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (09) : 2917 - 2943
[22] Submajorization inequalities of τ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau $$\end{document}-measurable operators for concave and convex functions
Turdebek N. Bekjan
Dostilek Dauitbek
Positivity, 2015, 19 (2) : 341 - 345

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