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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Vydáno v:Journal of mathematical analysis and applications Ročník 421; číslo 1; s. 186 - 205
Hlavní autoři: Araujo, Jesús, Font, Juan J.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 01.01.2015
Témata:
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