关于条件类型算子的柯西对偶的一些结果

Pub Date : 2022-01-01 DOI:10.7153/oam-2022-16-64

M. Sohrabi

{"title":"关于条件类型算子的柯西对偶的一些结果","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":"{\"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}","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

摘要

．本文讨论了l2 (Σ)上n -正规、n -拟正规、n -幂†正规、n -幂†拟正规等算子类中Lambert条件算子Cauchy对偶概念的测度理论刻画。此外，还研究了这类算子之间的关系以及这类算子的一些基本性质。最后，利用矩阵表示法，给出了一些算例来说明所得结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

Some results on cauchy dual of conditional type operators

. 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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助