seperable space

seperable spaceseperable space
  1. Let T be a power bounded linear operator on a compler seperable and reflexive Banach space X if there exists a invariant nondegenerate and integrable Borel probability measure on X for T , then X is spanned by eigenvectors of T with unimodular eigenvalue .

    设T是复的可分的自反Banach空间X上的幂有界线性算子,若在X上存在关于T不变的非退化可积Borel概率测度m,那么T旋转特征向量全体张成X。