# Submajorization inequalities associated with $\tau$-measurable operators

Document Type: Research Paper

Authors

1 College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, P.R. China, and College of Science, Shihezi University, Shihezi, Xinjiang, 832003, P. R. China.

2 College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, P.R. China.

Abstract

The aim of this note is to study the submajorization inequalities for $\tau$-measurable operators in a semi-finite von Neumann algebra on a Hilbert space with a normal faithful semi-finite trace $\tau$. The submajorization inequalities generalize some results due to Zhang, Furuichi and Lin, etc..

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### History

• Receive Date: 02 November 2014
• Revise Date: 02 October 2015
• Accept Date: 06 October 2015