Deformation of the real part of $\beta$-uniform algebra
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2014), pp. 19-21
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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.
Keywords:
$\beta$-uniform algebra, topology.
Mots-clés : Hausdorff space
Mots-clés : Hausdorff space
@article{UZERU_2014_1_a3,
author = {T. M. Khudoyan},
title = {Deformation of the real part of $\beta$-uniform algebra},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {19--21},
publisher = {mathdoc},
number = {1},
year = {2014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2014_1_a3/}
}
TY - JOUR AU - T. M. Khudoyan TI - Deformation of the real part of $\beta$-uniform algebra JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 2014 SP - 19 EP - 21 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_2014_1_a3/ LA - en ID - UZERU_2014_1_a3 ER -
T. M. Khudoyan. Deformation of the real part of $\beta$-uniform algebra. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2014), pp. 19-21. http://geodesic.mathdoc.fr/item/UZERU_2014_1_a3/