TITLE:
Fixed Points Associated to Power of Normal Completely Positive Maps*
AUTHORS:
Haiyan Zhang, Hongying Si
KEYWORDS:
Fixed Point, Power, Completely Positive Map
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.5,
May
24,
2016
ABSTRACT: Let be a normal completely positive map with Kraus operators . An operator X is said to be a fixed point of , if . Let be the fixed points set of . In this paper, fixed points of are considered for , where means j-power of . We obtain that and for integral when A is self-adjoint and commutable. Moreover, holds under certain condition.