Author(s)

Haiyan Zhang, Hongying Si

College of Mathematics and Information Science, Shangqiu Normal University, Shangqiu, China.

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.

Fixed Point, Power, Completely Positive Map

Zhang, H. and Si, H. (2016) Fixed Points Associated to Power of Normal Completely Positive Maps*. Journal of Applied Mathematics and Physics, 4, 925-929. doi: 10.4236/jamp.2016.45101.