{"title":"线性关系索引定理及其在块关系矩阵研究中的应用","authors":"Ayoub Ghorbel, Maher Mnif","doi":"10.1134/S0016266323050015","DOIUrl":null,"url":null,"abstract":"<p> In this paper, we aim to prove an index theorem for linear relations and apply it to study the invertibility and the essential invertibility of certain upper triangular block relation matrices. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 1 supplement","pages":"1 - 16"},"PeriodicalIF":0.6000,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Index Theorem for Linear Relations and Its Applications to the Study of Block Relation Matrices\",\"authors\":\"Ayoub Ghorbel, Maher Mnif\",\"doi\":\"10.1134/S0016266323050015\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p> In this paper, we aim to prove an index theorem for linear relations and apply it to study the invertibility and the essential invertibility of certain upper triangular block relation matrices. </p>\",\"PeriodicalId\":575,\"journal\":{\"name\":\"Functional Analysis and Its Applications\",\"volume\":\"57 1 supplement\",\"pages\":\"1 - 16\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-04-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Functional Analysis and Its Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0016266323050015\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Functional Analysis and Its Applications","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1134/S0016266323050015","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
An Index Theorem for Linear Relations and Its Applications to the Study of Block Relation Matrices
In this paper, we aim to prove an index theorem for linear relations and apply it to study the invertibility and the essential invertibility of certain upper triangular block relation matrices.
期刊介绍:
Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.