Deformation of the real parts of β-uniform algebra (β-հավասարաչափ հանրահաշվի իրական մասին դեֆորմացիայի մասին)

Abstract

In this paper we investigate the deformation of the real part of β-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 β-uniform algebra coincides with the algebra of all complex-valued bounded continuous functions