Spectral Theorem for Compact Self -Adjoint Operator in Γ -Hilbert space

Abstract

In this article, we investigate some basic results of self-adjoint operator in Γ-Hilbert space. We proof some similar results on self-adjoint operator in this space with some specic norm. Finally we will prove that the spectral theorem for compact self-adjoint operator in Γ-Hilbert space and the converse is also true.