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Título:
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Homomorphisms on some function algebras
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Autores:
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Garrido, M. Isabel ;
Gómez Gil, Javier ;
Jaramillo Aguado, Jesús Ángel
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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, 1992
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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/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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For an algebra A of continuous real-valued functions on a topological space X, the question of whether every algebra homomorphism is a point evaluation for a point in X is considered. A variety of results are provided, such as the following. Let X be completely regular and A?C(X) a subalgebra with unit which is closed under bounded inversion and separates points and closed sets. Then every homomorphism is a point evaluation for a point in X if and only if, for each point z in the Stone-?ech compactification of X and not in X, there exists a function in A whose extension to z is infinite. Examples are considered and further results for the case of functions on a Banach space are discussed
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En línea:
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https://eprints.ucm.es/id/eprint/21718/1/garrido-gomez-jaramillo.pdf
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