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Homorphisms on function algebras

Garrido Carballo, M. Isabel and Gómez Gil, Javier and Jaramillo Aguado, Jesús Ángel (1994) Homorphisms on function algebras. Canadian Journal of Mathematics-Journal Canadien de Mathématiques, 46 (4). pp. 734-745. ISSN 0008-414X

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Let A be an algebra of continuous real functions on a topological space X. We study when every nonzero algebra homomorphism phi:A --> R is given by evaluation at some point of X. In the case that A is the algebra of rational functions (or real-analytic functions, or C(m)-functions) on a Banach space, we provide a positive answer for a wide class of spaces, including separable spaces and super-reflexive spaces (with nonmeasurable cardinal).

Item Type:Article
Uncontrolled Keywords:Algebra of continuous real functions; separable spaces; super-reflexive spaces
Subjects:Sciences > Mathematics > Topology
ID Code:15532

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