Natural Science, Mathematics, 2025
DEFORMATION OF THE REAL PARTOF β-UNIFORM ALGEBRA
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Submitted: 2025-02-17; Published: 2025-02-17
© 2025 by author(s) and The Gufo Inc.
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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.