Surjective isometries on spaces of vector valued continuous and Lipschitz functions

Surjective isometries on spaces of vector valued continuous and Lipschitz functions

For X a compact Hausdorff topological space and F a strictly convex and reflexive Banach space we characterize the surjective isometries of certain subspaces of C(X, F) . It follows from this characterization that surjective isometries on spaces of vector valued Lipschitz functions equipped with a p...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2013-09, Vol.17 (3), p.395-405
Hauptverfasser: Botelho, Fernanda, Jamison, James
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Calculus of Variations and Optimal Control
Optimization
Econometrics
Fourier Analysis
Mathematical analysis
Mathematical functions
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
Studies
Vector space
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:For X a compact Hausdorff topological space and F a strictly convex and reflexive Banach space we characterize the surjective isometries of certain subspaces of C(X, F) . It follows from this characterization that surjective isometries on spaces of vector valued Lipschitz functions equipped with a p -norm are also weighted composition operators.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-012-0175-7