This is a preview. Log in through your library . Abstract Several authors [1], [2], ⋯, [6], have derived characterizations of a conditional expectation operator. That is, if T is a transformation ...
Basterfield showed that if $X \in L \log L$ and $\{\mathscr{F}_n\}$ form a sequence of independent $\sigma$-fields, then $E(X\mid\mathscr{F}_n)\rightarrow EX$ a.s ...