- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 6 Issue: 1
- Spectral Theorem for Compact Self -Adjoint Operator in Γ -Hilbert space
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 : 5 | Download : 2
Publication Date : 2022-03-31
Article Type : Research
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