Continuity of CP-semigroups in the point-strong operator topology

Daniel Markiewicz, Orr Moshe Shalit

We prove that if $\{{\varphi }_t{\}}_{t\ge 0}$ is a CP-semigroup acting on a von Neumann algebra $M\subseteq B(H)$, then for every $A\in M$ and $\xi \in H$, the map $t\mapsto {\varphi }_t(A)\xi$ is nor…