{"title":"Single-Valued Extension Property and Property \\((\\omega)\\)","authors":"Lili Yang, Xiaohong Cao","doi":"10.1134/S0016266321040067","DOIUrl":null,"url":null,"abstract":"<p> We study the stability of the single-valued extension property for operators on a Hilbert space. Further, relations between the stability of the single-valued extension property and of property <span>\\((\\omega)\\)</span> are given. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2022-03-17","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/S0016266321040067","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We study the stability of the single-valued extension property for operators on a Hilbert space. Further, relations between the stability of the single-valued extension property and of property \((\omega)\) are given.
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.
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