Weak Markov Operators

Abstract

Let A and B be f-algebras with unit elements e(A) and e(B) respectively. A positive operator T from A to B satisfying T(e(A)) = e(B) is called a Markov operator. In this definition we replace unit elements with weak order units and, in this case, call T to be a weak Markov operator. In this paper, we characterize extreme points of the weak Markov operators.