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

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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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