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

Year 2022, Volume: 6 Issue: 1, 93 - 100, 31.03.2022

Nırmal Sarkar , Sahın Injamamul Islam , Ashoke Das

https://doi.org/10.31197/atnaa.877757

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

References

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