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Linear isometries on subalgebras of uniformly continuous functions

Published online by Cambridge University Press:  20 January 2009

Jesús Araujo  and
Juan J. Font
Jesús Araujo
Affiliation:
Departamento de Matemáticas, Estadistica y Computación, Facultad de Ciencias, Universidad de Cantabria, Avenida de losCastros s.n., E-39071, Santander, Spain ([email protected] )
Juan J. Font
Affiliation:
Departamento de Matemáticas, Universitat Jaume I, Campus Riu Sec, E-12071, Castellón, Spain ([email protected])
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Abstract

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We describe the linear surjective isometries between various subalgebras of uniformly continuous bounded functions defined on closed subsets of Banach spaces.

Keywords

linear isometriesBanach-Stone theoremuniformly continuous functions
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 1 , February 2000 , pp. 139 - 147
Copyright
Copyright © Edinburgh Mathematical Society 2000

References

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