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

Open Access

Original research article

Author(s):

Nirmal Sarkar, Sahin Injamamul Islam, Ashoke Das

Department of Mathematics, Raiganj University, Raiganj, India.

Advances in the Theory of Nonlinear Analysis and its Applications 6(1), 93–100.

Received: February 9, 2021

Accepted: November 23, 2021

Published: November 25, 2021

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

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APA Style

Sarkar, N., Islam, S. I., & Das, A. (2023). Spectral theorem for compact self-adjoint operator in Γ-Hilbert space. Advances in the Theory of Nonlinear Analysis and Its Application, 6(1), 93–100.