关于条件类型算子的柯西对偶的一些结果

IF 0.6 4区数学 Q3 MATHEMATICS

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

M. Sohrabi

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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。

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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.

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来源期刊

Operators and Matrices 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

7 months

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.