On the dilation of a conditional operator

چکیده مقاله

Let E be the conditional expectation operator with respect to a σ-
finite subalgebra A of . This paper is concerned with the study of
a conditional type operator Tu,v on L2() of the form Tu,v = EMuE +
EMvQ, where u and v are measurable functions and Q=I−E. We discuss
matrix theoretic characterizations of several properties of Tu,v
with an application-oriented approach.