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arXiv · 1109.3429

Bicomplex Riesz-Fischer Theorem

K. S. Charak·R. Kumar·D. Rochon
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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, the main 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 $l^2$ is the canonical model space.

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BibTeXRIS

K. S. Charak, R. Kumar, D. Rochon. 2013-02-05. Bicomplex Riesz-Fischer Theorem. https://arxiv.org/abs/1109.3429

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