Geodesic
On the Composition of Conditional Expectation and Multiplication Operators
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 6, p. 883 .

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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.
Classification : 47B38, 47B40
Keywords: Conditional expectation, spectrum, point spectrum, spectral radius 
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     author = {Yousef Estaremi},
     title = {On the {Composition} of {Conditional} {Expectation} and {Multiplication} {Operators}},
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     number = {6},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2022_46_6_a3/}
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Yousef Estaremi. On the Composition of Conditional Expectation and Multiplication Operators. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 6, p. 883 . http://geodesic.mathdoc.fr/item/KJM_2022_46_6_a3/