{"title":"Characterizations of Hopfians spaces","authors":"H. Boua, A. Tajmouati","doi":"10.7153/oam-2023-17-02","DOIUrl":null,"url":null,"abstract":". A Banach space X is called Hop fi an, if any bounded linear operator surjective is bijective. The existence of the Banach Hop fi ans spaces in in fi nite dimension was established by Gowers and Maury in 1993. In this note we obtain some characterizations of Banach spaces Hop fi ans by properties of the algebra of bounded linear operators B ( X ) . Mathematics subject classi fi cation (2020): 47A10, 47A11.","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"1 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operators and Matrices","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/oam-2023-17-02","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
. A Banach space X is called Hop fi an, if any bounded linear operator surjective is bijective. The existence of the Banach Hop fi ans spaces in in fi nite dimension was established by Gowers and Maury in 1993. In this note we obtain some characterizations of Banach spaces Hop fi ans by properties of the algebra of bounded linear operators B ( X ) . Mathematics subject classi fi cation (2020): 47A10, 47A11.
． 如果任何有界线性算子满射是双射，则称巴拿赫空间X为Hop fi an。Banach Hop fi - ans空间的存在性是由Gowers和Maury在1993年建立的。本文利用有界线性算子B (X)的代数性质，得到了Banach空间Hop - fi的一些刻画。数学学科分类(2020):47A10、47A11。
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''Operators and Matrices'' (''OaM'') aims towards developing a high standard international journal which will publish top quality research and expository papers in matrix and operator theory and their applications. The journal will publish mainly pure mathematics, but occasionally papers of a more applied nature could be accepted. ''OaM'' will also publish relevant book reviews.
''OaM'' is published quarterly, in March, June, September and December.
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