DEFORMATION OF THE REAL PART OF $\beta$-UNIFORM ALGEBRA

Authors

  • T.M. Khudoyan Chair of Differential Equations, YSU, Armenia

DOI:

https://doi.org/10.46991/PSYU:A/2014.48.1.019

Keywords:

$\beta$-uniform algebra, Hausdorff space, topology

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.

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Published

2014-04-10

How to Cite

Khudoyan, T. (2014). DEFORMATION OF THE REAL PART OF $\beta$-UNIFORM ALGEBRA. Proceedings of the YSU A: Physical and Mathematical Sciences, 48(1 (233), 19–21. https://doi.org/10.46991/PSYU:A/2014.48.1.019

Issue

Section

Mathematics