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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2014, Issue 1, Pages 19–21
(Mi uzeru45)
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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.
Received: 04.09.2013 Accepted: 18.12.2013
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
Linking options:
https://www.mathnet.ru/eng/uzeru45 https://www.mathnet.ru/eng/uzeru/y2014/i1/p19
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Abstract page: | 89 | Full-text PDF : | 18 | References: | 20 |
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