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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
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
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
Linking options:
https://www.mathnet.ru/eng/faa2921https://doi.org/10.4213/faa2921 https://www.mathnet.ru/eng/faa/v43/i1/p85
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Abstract page: | 391 | Full-text PDF : | 216 | References: | 74 | First page: | 8 |
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