@article{article_877757, title={Spectral Theorem for Compact Self -Adjoint Operator in Γ -Hilbert space}, journal={Advances in the Theory of Nonlinear Analysis and its Application}, volume={6}, pages={93–100}, year={2022}, DOI={10.31197/atnaa.877757}, author={Sarkar, Nırmal and Islam, Sahın Injamamul and Das, Ashoke}, keywords={Compact operator, Self-adjoint Operator, Spectral Theorem, 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 specific norm. Finally we will prove that the Spectral Theorem for Compact Self-adjoint Operator in Γ -Hilbert space and the converse is true.}, number={1}, publisher={Erdal KARAPINAR}