Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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..
Keywords
Subjects

Volume 41, Issue 7 (Special Issue)
December 2015
Pages 185-194

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