Seyedeh Somayeh Jafari - Department of Mathematics, Payame Noor University, Tehran, Iran

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.

Amenibility, Bounded linear operator, Positivity, Unitary representation