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

Authors : Nırmal SARKAR, Sahın Injamamul ISLAM, Ashoke DAS

Pages : 93-100

Doi:10.31197/atnaa.877757

View : 14 | Download : 12

Publication Date : 2022-03-31

Article Type : Research Paper

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 specific norm. Finally we will prove that the Spectral Theorem for Compact Self-adjoint Operator in Γ -Hilbert space and the converse is true.
Keywords : Compact operator, Self adjoint Operator, Spectral Theorem, Γ Hilbert Space