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

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.

References

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J.B. Conway, A Course in Functional Analysis, 2nd ed., USA: Springer, (1990), 26-60.

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B.K. Lahiri, Elements Of Functional Analysis, 5th ed, Calcutta, The World Press, (2000).

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Published

2023-08-01

Issue

Section

Articles

How to Cite

Spectral Theorem for Compact Self -Adjoint Operator in Γ -Hilbert space. (2023). Advances in the Theory of Nonlinear Analysis and Its Application, 6(1), 93-100. https://atnaea.org/index.php/journal/article/view/103