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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

1.Araujo, J. and Font, J. J., Linear isometrics between subspaces of continuous functions, Trans. Am. Math. Soc. 349 (1997), 413–428.CrossRefGoogle Scholar
2.Araujo, J. and Font, J. J., On Shilov boundaries for subspaces of continuous functions, Top. Appl. 77 (1997), 79–85.Google Scholar
3.Gamelin, T. W., Uniform algebras (Chelsea, New York, 1984).Google Scholar
4.Jarosz, K. and Pathak, V. D., Isometrics and small bound isomorphisms of function spaces, Lecture Notes in Pure and Applied Mathematics, no. 136, pp. 241–271 (Dekker, New York, 1992).Google Scholar
5.Lacruz, M. and Llavona, J. G., Composition operators between algebras of uniformly continuous functions, Arch. Math. 69 (1997), 52–56.CrossRefGoogle Scholar