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 ...
Let $(\Omega, \mathscr{a}, P)$ be a probability space and $\mathscr{B} \subset \mathscr{a}$ be a $\sigma$-field. Let $s$ with $1 < s < \infty$ be fixed. If $f \in L_s ...