Logarithmic submajorisations inequalities for operators in a finite von Neumann algebra

2021/04/14 by Cheng Yan, Yan, Cheng, Yazhou Han +1
Mathematics · #46L52 #47A63 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2104.06827

openalex publication_date 2021/04/14 · openalex created_date 2021/04/26 · openalex updated_date 2026/07/28

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 Hölder type generalized singular numbers inequality.

Citations

• Analyticity in Operator Algebras

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