{"title":"Some results on cauchy dual of conditional type operators","authors":"M. Sohrabi","doi":"10.7153/oam-2022-16-64","DOIUrl":null,"url":null,"abstract":". In this paper, we discuss measure theoretic some characterizations of the notion of Cauchy dual for Lambert conditional operators in some operator classes on L 2 ( Σ ) such as, n - normal, n -quasi-normal, n -power †-normal, n -power †-quasi-normal. Moreover, the relations between these classes and some basic properties of these operators are studied. Finally, using the matrix representation, some examples are provided to illustrate the obtained results.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/oam-2022-16-64","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
. In this paper, we discuss measure theoretic some characterizations of the notion of Cauchy dual for Lambert conditional operators in some operator classes on L 2 ( Σ ) such as, n - normal, n -quasi-normal, n -power †-normal, n -power †-quasi-normal. Moreover, the relations between these classes and some basic properties of these operators are studied. Finally, using the matrix representation, some examples are provided to illustrate the obtained results.
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