Uniformly ergodic maps on \(C^*\)-algebras
Let T be a unital continuous linear map on a \(C^*\)-algebra A such that \(T(x)T(x)^*\leq \| T\| T(xx^*)\) for every x in A. The following conditions are proved to be equivalent: (a) T is uniformly ergodic with finite-dimensional fixed space, (b) T is quasi-compact.
unital continuous linear map on a \(C^*\)-algebra
uniformly ergodic with finite-dimensional fixed space
scientific article; zbMATH DE number 3877819
scientific article