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Funktsional'nyi Analiz i ego Prilozheniya, 2009, Volume 43, Issue 1, Pages 85–87
DOI: https://doi.org/10.4213/faa2921 (Mi faa2921) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

A Characterization of the Algebra $C_\beta(\Omega)$

M. I. Karahanyana, T. A. Khor'kovab

a Yerevan State University
b Kazan State Power Engineering University
Full-text PDF (161 kB) Citations (4)
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DOI: https://doi.org/10.4213/faa2921
Abstract: We study some properties of algebras of continuous functions on a locally compact space, these algebras being equipped with the topology defined by a family of multiplication operators ($\beta$-uniform algebras). We prove an analog of a theorem due to Sheinberg for $\beta$-uniform algebras [see Uspekhi Mat. Nauk, 32:5 (197) (1977), 203–204].
Keywords: $\beta$-uniform algebra, cohomology, derivative, $\beta$-topology, amenable algebra.
Received: 28.03.2007
Revised: 09.07.2007
English version:
Functional Analysis and Its Applications, 2009, Volume 43, Issue 1, Pages 69–71
DOI: https://doi.org/10.1007/s10688-009-0008-z
Bibliographic databases:
Document Type: Article
UDC: 513.83
Language: Russian
Citation: M. I. Karahanyan, T. A. Khor'kova, “A Characterization of the Algebra $C_\beta(\Omega)$”, Funktsional. Anal. i Prilozhen., 43:1 (2009), 85–87; Funct. Anal. Appl., 43:1 (2009), 69–71
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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