Geodesic
A Characterization of the Algebra $C_\beta(\Omega)$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 1, pp. 85-87

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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
Mots-clés : amenable algebra. 
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     title = {A {Characterization} of the {Algebra} $C_\beta(\Omega)$},
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M. I. Karahanyan; T. A. Khor'kova. A Characterization of the Algebra $C_\beta(\Omega)$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 1, pp. 85-87. http://geodesic.mathdoc.fr/item/FAA_2009_43_1_a6/