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Maximal ideal space of function algebras

Part of: Linear function spaces and their duals Rings and algebras arising under various constructions

Published online by Cambridge University Press:  09 April 2009

Jorge Bustamante González  and
Raul Escobedo Conde
Jorge Bustamante González
Affiliation:
Universidad Autónoma de Puebla Facultad de Ciencias Fisico Mathematicas Av. San Claudio y 14 Sur Puebla, PUE, CP 72570Mexico e-mail: [email protected]
Raul Escobedo Conde
Affiliation:
Universidad Autónoma de Puebla Facultad de Ciencias Fisico Mathematicas Av. San Claudio y 14 Sur Puebla, PUE, CP 72570Mexico e-mail: [email protected]
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Abstract

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We present a representation theory for the maximal ideal space of a real function algebra, endowed with the Gelfand topology, using the theory of uniform spaces. Application are given to algebras of differentiable functions in a normęd space, improving and generalizing some known results.

Keywords

real homomorphismsmaximal ideal space.

MSC classification

Secondary: 46E25: Rings and algebras of continuous, differentiable or analytic functions 16S60: Rings of functions, subdirect products, sheaves of rings
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 63 , Issue 1 , August 1997 , pp. 78 - 90
Copyright
Copyright © Australian Mathematical Society 1997

References

[1]Bistrom, P., Bjon, S. and Lindstrom, M., ‘Remarks on homomorpohisms on certain subalgebras of C(X)’, Math. Japan. 37 (1992), 105–109.Google Scholar
[2]Bistrom, P., Bjon, S. and Lindstrom, M., ‘Homomorphisms on some functions algebras’, Monatsh. Math. 111 (1991), 93–97.CrossRefGoogle Scholar
[3]Engelking, R., General topology, Monograf. Math. (Warsaw, 1977).Google Scholar
[4]Gillman, L. and Jerison, M., Rings of continuous functions (Van Nostrand, Princeton, 1960).CrossRefGoogle Scholar
[5]Isbell, J. R., ‘Algebras of uniformly continuous functions’, Ann. of Math. 68 (1958), 96–125.CrossRefGoogle Scholar
[6]Jaramillo, J. A. and Llavona, J. G., ‘On the spectrum of ’, Math. Ann. 287 (1990), 531–538.CrossRefGoogle Scholar
[7]Jaramillo, J. A. and Llavona, J. G., ‘Homomorphisms between algebras of continuous functions’, Canad. J. Math. XI (1989), 132–162.Google Scholar
[8]Nachbin, L., Introduction to functional analysis. Banach spaces and differential calculus (New York, 1981).Google Scholar