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Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

DEFORMATION OF THE REAL PARTOF β-UNIFORM ALGEBRA

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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