Finite codimensional isometries on spaces of vector-valued continuous functions

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

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Bibliographic Details
Published in:Journal of mathematical analysis and applications Vol. 421; no. 1; pp. 186 - 205
Main Authors: Araujo, Jesús, Font, Juan J.
Format: Journal Article
Language:English
Published: Elsevier Inc 01.01.2015
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ISSN:0022-247X, 1096-0813
Online Access:Get full text
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Summary:Based on the vector-valued generalization of Holsztyński's theorem by M. Cambern, we provide a complete description of the linear isometries of C(X,E) into C(Y,F) whose range has finite codimension.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2014.06.077