ABSTRACT

Definition 2.10: T S is called doubly stochastic iff Tt|l1 S i.e.when Tt is restricted to l1 it is stochastic

This says T is doubly stochastic iff it is induced by a doubly stochastic matrix, where an infinite stochastic matrix P is doubly stochastic iff Pt is stochastic. The set of doubly stochastic operators will be denoted by D.