{"title":"伪正规算子的幂","authors":"C. Kubrusly, P. Vieira, J. Zanni","doi":"10.7153/OAM-10-02","DOIUrl":null,"url":null,"abstract":"Square of a posinormal operator is not necessarily posinormal. But (i) powers of quasiposinormal operators are quasiposinormal and, under closed ranges assumption, powers of (ii) posinormal operators are posinormal, (iii) of operators that are both posinormal and coposinormal are posinormal and coposinormal, and (iv) of semi-Fredholm posinormal operators are posinormal.","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"1 1","pages":"15-27"},"PeriodicalIF":0.6000,"publicationDate":"2022-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Powers of posinormal operators\",\"authors\":\"C. Kubrusly, P. Vieira, J. Zanni\",\"doi\":\"10.7153/OAM-10-02\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Square of a posinormal operator is not necessarily posinormal. But (i) powers of quasiposinormal operators are quasiposinormal and, under closed ranges assumption, powers of (ii) posinormal operators are posinormal, (iii) of operators that are both posinormal and coposinormal are posinormal and coposinormal, and (iv) of semi-Fredholm posinormal operators are posinormal.\",\"PeriodicalId\":56274,\"journal\":{\"name\":\"Operators and Matrices\",\"volume\":\"1 1\",\"pages\":\"15-27\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2022-02-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Operators and Matrices\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/OAM-10-02\",\"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":"Operators and Matrices","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/OAM-10-02","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Square of a posinormal operator is not necessarily posinormal. But (i) powers of quasiposinormal operators are quasiposinormal and, under closed ranges assumption, powers of (ii) posinormal operators are posinormal, (iii) of operators that are both posinormal and coposinormal are posinormal and coposinormal, and (iv) of semi-Fredholm posinormal operators are posinormal.
期刊介绍：
''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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