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DEFORMATION OF THE REAL PARTOF β-UNIFORM ALGEBRA

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Abstract

In this paper we investigate the deformation of the real part ofβ-uniformalgebra on a locally compact Hausdorff space. We prove that if the deforma-tion semigroup contains at least one deformation other than the affinity, thenβ-uniform algebra coincides with the algebra of all complex-valued boundedcontinuous functions.

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