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 Proceedings of the YSU, Physical and Mathematical Sciences, 2014, Issue 1, Pages 19–21 (Mi uzeru45)

Mathematics

Deformation of the real part of $\beta$-uniform algebra

T. M. Khudoyan

Yerevan State University

Abstract: In this paper we investigate the deformation of the real part of $\beta$-uniform algebra on a locally compact Hausdorff space. We prove that if the deformation semigroup contains at least one deformation other than the affinity, then $\beta$-uniform algebra coincides with the algebra of all complex-valued bounded continuous functions.

Keywords: $\beta$-uniform algebra, Hausdorff space, topology.

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MSC: Primary 46H05; Secondary 46H20
Accepted:18.12.2013
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Citation: T. M. Khudoyan, “Deformation of the real part of $\beta$-uniform algebra”, Proceedings of the YSU, Physical and Mathematical Sciences, 2014, no. 1, 19–21

Citation in format AMSBIB
\Bibitem{Khu14} \by T.~M.~Khudoyan \paper Deformation of the real part of $\beta$-uniform algebra \jour Proceedings of the YSU, Physical and Mathematical Sciences \yr 2014 \issue 1 \pages 19--21 \mathnet{http://mi.mathnet.ru/uzeru45}