On the dilation of a conditional operator

Let E be the conditional expectation operator with respect to a σ-finite subalgebra of Σ. This paper is concerned with the study of a conditional type operator on of the form , where u and v are measurable functions and Q=I−E. We discuss matrix theoretic characterizations of several properties of wi...

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Bibliographic Details
Published in:Linear & multilinear algebra 2021-09, Vol.69 (12), p.2204-2219
Main Authors: Jabbarzadeh, M. R., Emamalipour, H.
Format: Article
Language:English
Subjects:
Conditional expectation
Drazin inverse
generalized inverse
Moore-Penrose inverse
multiplication operator
Operators (mathematics)
Primary 47B20
Secondary 47B25
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Summary:Let E be the conditional expectation operator with respect to a σ-finite subalgebra of Σ. This paper is concerned with the study of a conditional type operator on of the form , where u and v are measurable functions and Q=I−E. We discuss matrix theoretic characterizations of several properties of with an application-oriented approach.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2019.1664385