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Finite codimensional isometries on spaces of vector-valued continuous functions

Abstract: Abstract Based on the vector-valued generalization of Holsztynski's theorem by M. Cambern, we provide a complete description of the linear isometries of C(X,E)C(X,E) into C(Y,F)C(Y,F) whose range has finite codimension.

 Authorship: Araujo J., Font J.,

 Fuente: Journal of Mathematical Analysis and Applications, Volume 421, Issue 1, 1 January 2015, Pages 186–205

 Publisher: Academic Press Inc.

 Publication date: 01/01/2015

 No. of pages: 20

 Publication type: Article

 DOI: 10.1016/j.jmaa.2014.06.077

 ISSN: 0022-247X,1096-0813

 Spanish project: MTM2011-23118

 Publication Url: http://dx.doi.org/10.1016/j.jmaa.2014.06.077

Authorship

FONT, JUAN J.