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Maximal ideal space of function algebras

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

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: jbusta@fcfm.buap.mx
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: jbusta@fcfm.buap.mx
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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

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