On a generalized uniform zero-two law for positive contractions of non-commutative $L_1$-spaces and its vector-valued extension

Inomjon Ganiev, Farrukh Mukhamedov, Dilmurod Bekbaev

First, Ornstein and Sucheston proved that for a given positive contraction $T:L_1\to L_1$ there exists $m\in N$ such that $\Vert T^{m+1}-T^m\Vert <2$ then $$ \lim_{n\to\infty}\|T^{n+1}…