Spectral Theorem for a bounded self adjoint operator on a Bicomplex Hilbert space
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914689922891776 |
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| author | Rane, Akshay Sakharam |
| author_facet | Rane, Akshay Sakharam |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15520 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spectral Theorem for a bounded self adjoint operator on a Bicomplex Hilbert space Rane, Akshay Sakharam Functional Analysis Spectral Theory 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. |
| title | Spectral Theorem for a bounded self adjoint operator on a Bicomplex Hilbert space |
| topic | Functional Analysis Spectral Theory |
| url | https://arxiv.org/abs/2402.15520 |