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：
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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.
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