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Matematicheskie Zametki, 2007, Volume 81, Issue 5, Pages 660–665
DOI: https://doi.org/10.4213/mzm3710 (Mi mzm3710) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Stone and Bishop Appoximation Theorems

B. T. Bilalov

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
Full-text PDF (403 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm3710
Abstract: Generalizations of the Stone–Weierstrass and Bishop approximation theorems are presented. Given an algebra, a subspace in a continuous function space coinciding with the closure of this algebra is constructed. Analogs of these results are obtained in the case where the set of functions under consideration is not an algebra, but its closure is related to some algebra.
Keywords: Stone–Weierstrass approximation theorem, Bishop approximation theorem, uniform closure of a function algebra, uniform algebra.
Received: 15.12.2003
Revised: 05.10.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 5, Pages 590–595
DOI: https://doi.org/10.1134/S0001434607050021
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: B. T. Bilalov, “On the Stone and Bishop Appoximation Theorems”, Mat. Zametki, 81:5 (2007), 660–665; Math. Notes, 81:5 (2007), 590–595
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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