Bicomplex Riesz-Fischer Theorem
Functional Analysis
2013-02-06 v3
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 is the canonical model space.
Cite
@article{arxiv.1109.3429,
title = {Bicomplex Riesz-Fischer Theorem},
author = {K. S. Charak and R. Kumar and D. Rochon},
journal= {arXiv preprint arXiv:1109.3429},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:1006.5017