On the Composition of Conditional Expectation and Multiplication Operators
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Authors: Y. ESTAREMI
DOI: 10.46793/KgJMat2206.883E
Abstract:
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.
Keywords:
Conditional expectation, spectrum, point spectrum, spectral radius.
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