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

2024/02/15 by Rane, Akshay Sakharam
#FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2402.15520

Abstract

In this paper, we shall consider the notion of bicomplex inner product and define bicomplex Hilbert space. We shall define L²[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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