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Garrido, M. Isabel and Gómez Gil, Javier and Jaramillo Aguado, Jesús Ángel (1992) Homomorphisms on some function algebras. Extracta Mathematicae, 7 (1). pp. 4652. ISSN 02138743

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Official URL: http://dmle.cindoc.csic.es/pdf/EXTRACTAMATHEMATICAE_1992_07_01_12.pdf
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http://www.eweb.unex.es/eweb/extracta/  Organisation 
Abstract
For an algebra A of continuous realvalued 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 StoneČech 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
Item Type:  Article 

Subjects:  Sciences > Mathematics > Functional analysis and Operator theory 
ID Code:  21718 
Deposited On:  06 Jun 2013 16:38 
Last Modified:  12 Dec 2018 15:13 
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