Finite dimensional invariant subspaces for a semigroup of linear operators
The left-amenability of a semitopological semigroup S is characterized by the existence of an invariant n-dimensional subspace of certain representations of S. This is a generalizatin of a result of \textit{K. Fan} [Indagationes Math. 27, 447-451 (1965; Zbl 0139.311)].
scientific article; zbMATH DE number 3875951