Bicomplex Riesz-Fischer Theorem
bicomplex numbers, bicomplex algebra, generalized Hilbert spaces, Riesz- Fischer theorem., Riesz- Fischer theorem
Abstract
This paper continues the study of infinite dimensional bicomplex Hilbert spaces introduced in previous articles on the topic. Besides obtaining a Best Approximation Theorem, themain purpose of this paper is to obtain a bicomplex analogue of the Riesz-Fischer Theorem. There are many statements of the Riesz-Fischer (R-F) Theorem in the literature, some are equivalent, some are consequences of the original versions. The one referred to in this paper is the R-F Theorem which establishes that the spaces is the canonical model space.
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References
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2013-02-06
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