{"title":"Refined von Neumann-type trace inequality and its application","authors":"Yazhou Han, Cheng Yan, Xingpeng Zhao","doi":"10.1080/03081087.2024.2349794","DOIUrl":null,"url":null,"abstract":"The purpose of this note is to establish logarithmic submajorization inequalities that are associated with von Neumann's trace inequality for operators in finite von Neumann algebras. As an applica...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2024-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Linear & Multilinear Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/03081087.2024.2349794","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The purpose of this note is to establish logarithmic submajorization inequalities that are associated with von Neumann's trace inequality for operators in finite von Neumann algebras. As an applica...
期刊介绍:
Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to:
spaces over fields or rings
tensor algebras
nonnegative matrices
inequalities in linear algebra
combinatorial matrix theory
numerical linear algebra
representation theory
Lie theory
invariant theory and
operator theory
The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.