Logarithmic submajorisations inequalities for operators in a finite von Neumann algebra
Operator Algebras
2021-04-15 v1 Functional Analysis
Abstract
The aim of this paper is to study the logarithmic submajorisations inequalities for operators in a finite von Neumann algebra. Firstly, some logarithmic submajorisations inequalities due to Garg and Aulja are extended to the case of operators in a finite von Neumann algebra. As an application, we get some new Fuglede-Kadison determinant inequalities of operators in that circumstance. Secondly, we improve and generalize to the setting of finite von Neumann algebras, a generalized H\"{o}lder type generalized singular numbers inequality.
Keywords
Cite
@article{arxiv.2104.06827,
title = {Logarithmic submajorisations inequalities for operators in a finite von Neumann algebra},
author = {Cheng Yan and Yazhou Han},
journal= {arXiv preprint arXiv:2104.06827},
year = {2021}
}