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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Vydané v:	Journal of mathematical analysis and applications Ročník 421; číslo 1; s. 186 - 205
Hlavní autori:	Araujo, Jesús, Font, Juan J.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 01.01.2015
Predmet:	Banach–Stone theorem Finite codimensional isometries Strict convexity Weighted composition operators Finite codimensional isometries Strict convexity Banach–Stone theorem Weighted composition operators
ISSN:	0022-247X, 1096-0813
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Popis
Shrnutí:	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