Infinite Dimensional Bicomplex Spectral Decomposition Theorem |
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| Authors: | Kuldeep Singh Charak Ravinder Kumar Dominic Rochon |
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| Institution: | 1. Department of Mathematics, University of Jammu, Jammu, 180 006, India
2. Département de mathématiques et d’informatique, Université du Québec à Trois-Rivières, C.P. 500, Trois-Rivières, Québec, G9A 5H7, Canada
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| Abstract: | This paper presents a bicomplex version of the Spectral Decomposition Theorem on infinite dimensional bicomplex Hilbert spaces. In the process, the ideas of bounded linear operators, orthogonal complements and compact operators on bicomplex Hilbert spaces are introduced and treated in relation with the classical Hilbert space M′ imbedded in any bicomplex Hilbert space M. |
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