2021•Advances in the Theory of Nonlinear Analysis and its ApplicationOpen access
Spectral Theorem for Compact Self -Adjoint Operator in Γ -Hilbert space
Nirmal Kumar Sarkar, Sahın Injamamul ISLAM, Ashoke Das
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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.
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