ON THE COMPOSITION OF CONDITIONAL EXPECTATION AND MULTIPLICATION OPERATORS

被引：0

作者：

Estaremi, Yousef ^{[1
,2
]}

机构：

[1] Payame Noor Univ, Dept Math, Tehran, Iran

[2] Golestan Univ, Dept Math & Comp Sci, Gorgan, Golestan, Iran

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 06期

关键词：

Conditional expectation; spectrum; point spectrum; spectral radius;

D O I：

10.46793/KgJMat2206.883E

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, first we provide some necessary and sufficient conditions for quasi-normality and quasi-hyponormality of weighted conditional type operators. And then the spectrum, residual spectrum, point spectrum and spectral radius of weighted conditional type operators are computed. As an application, we give an equivalent conditions for weighted conditional type operators to be quasinilpotent. Also, some examples are provided to illustrate concrete applications of the main results.

引用

页码：883 / 894

页数：12

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