Existence of positive operators associated with locallycompact groups

Given a unitary representation (π, Hπ) of a locally compact group G, we studythe notions on (topological) invariant subspaces to non-empty subsets of B(Hπ). Wealso characterize the existence of a positive operator equipped with special properties.

Keywords:

Amenibility , Bounded linear operator , Positivity , Unitary representation