Spectral Theorem for Compact Self -Adjoint Operator in 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.

Keywords

• Compact operator,
• Self-adjoint Operator,
• Spectral Theorem,
• Γ-Hilbert Space

References

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