2011/09/15 by Kuldeep Singh Charak, K. S. Charak, Charak, K. S. +6 · 1 citation
Mathematics · #16D10 (Primary) 30G35 #46C05 #46C50 (Secondary) #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematics and Applications #math.FA #msc:16D10 #msc:30G35 #msc:46C05 #msc:46C50
paper · pdf · doi:10.48550/arxiv.1109.3429
arXiv admin note: text overlap with arXiv:1006.5017
openalex publication_date 2011/09/15 · arxiv created 2013/02/05 · arxiv updated 2013/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 l2 is the canonical model space.