Spectral Theorem for a bounded self adjoint operator on a Bicomplex Hilbert space
Functional Analysis
2024-02-27 v1 Spectral Theory
Abstract
In this paper, we shall consider the notion of bicomplex inner product and define bicomplex Hilbert space. We shall define 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.
Cite
@article{arxiv.2402.15520,
title = {Spectral Theorem for a bounded self adjoint operator on a Bicomplex Hilbert space},
author = {Akshay Sakharam Rane},
journal= {arXiv preprint arXiv:2402.15520},
year = {2024}
}