{"title":"关于紧凑扰动下性质 (R) 的一些新结果","authors":"Nan Li, Xiaohong Cao, Jiong Dong","doi":"10.1080/03081087.2024.2410292","DOIUrl":null,"url":null,"abstract":"The property (R) for a bounded linear operator T on a Hilbert space means that the points λ in the approximate point spectrum of T for which T−λI is upper semi-Browder are exactly the isolated poin...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"31 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2024-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some new results on the property (R) under compact perturbations\",\"authors\":\"Nan Li, Xiaohong Cao, Jiong Dong\",\"doi\":\"10.1080/03081087.2024.2410292\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The property (R) for a bounded linear operator T on a Hilbert space means that the points λ in the approximate point spectrum of T for which T−λI is upper semi-Browder are exactly the isolated poin...\",\"PeriodicalId\":49905,\"journal\":{\"name\":\"Linear & Multilinear Algebra\",\"volume\":\"31 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-10-04\",\"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/10.1080/03081087.2024.2410292\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Linear & Multilinear Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/03081087.2024.2410292","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
摘要
希尔伯特空间上的有界线性算子 T 的性质 (R) 意味着,T-λI 为上半布劳德的 T 的近似点谱中的点λ 恰好是孤立点...
Some new results on the property (R) under compact perturbations
The property (R) for a bounded linear operator T on a Hilbert space means that the points λ in the approximate point spectrum of T for which T−λI is upper semi-Browder are exactly the isolated poin...
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.