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Título:
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On some generalizations of the Kakutani-Stone and Stone-Weierstrass theorems
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Autores:
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Garrido, M. Isabel ;
Montalvo, Francisco
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Tipo de documento:
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texto impreso
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Editorial:
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Universidad de Extremadura, Departamento de Matemáticas, 1991
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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From the introduction: "For a completely regular space X , C ? (X) denotes the algebra of all bounded real-valued continuous functions over X . We consider the topology of uniform convergence over C ? (X) .
"In this paper we carry out a systematic study of uniform approximation for algebras and lattices of C ? (X) . If F is an algebra or lattice (vector lattice, affine lattice,… ) we characterize its uniform closure and we give necessary and sufficient conditions for uniform density in C ? (X) . For our purposes we identify the rings C ? (X) and C(?X) (?X is the Stone-?ech compactification of X ). In this way, we generalize the classical results in the compact case and also obtain the generalizations by Hewitt and Blasco
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En línea:
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https://eprints.ucm.es/id/eprint/21730/1/Garrido14.pdf
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