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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
Received: 04.09.2013
Accepted:18.12.2013
Language:

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}


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  • Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
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