Spectral Theorem for a bounded self adjoint operator on a Bicomplex Hilbert space

Published 15 Feb 2024 in math.FA and math.SP | (2402.15520v1)

Abstract: In this paper, we shall consider the notion of bicomplex inner product and define bicomplex Hilbert space. We shall define $L^{2}[a,b]$ where the functions take bicomplex values. We shall prove the Theorem for a bounded self adjoint operator on a bicomplex Hilbert space which is not compact.

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Authors (1)

Akshay Sakharam Rane

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