{"title":"The kernels of powers of linear operator via Weyr characteristic","authors":"Jie Jian, Jun Liao, Heguo Liu","doi":"10.1080/03081087.2024.2327004","DOIUrl":null,"url":null,"abstract":"The adjoint of a matrix in the Lie algebra associated with a matrix algebra is a fundamental operator, which can be generalized to a more general operator φAB:X→AX−XB by two matrices A and B. The k...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2024-03-19","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/10.1080/03081087.2024.2327004","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 adjoint of a matrix in the Lie algebra associated with a matrix algebra is a fundamental operator, which can be generalized to a more general operator φAB:X→AX−XB by two matrices A and B. The k...
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.