Weight-preserving isomorphisms between spaces of continuous functions: The scalar case
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Weight-preserving isomorphisms between spaces of continuous functions: The scalar caseData de publicació
2016-01Editor
ElsevierCita bibliogràfica
FERRER, Marita; GARY, Margarita; HERNANDEZ, Salvador. Weight-preserving isomorphisms between spaces of continuous functions: The scalar case. Journal of Mathematical Analysis and Applications, 2016, vol. 433, no 2, p. 1659-1672.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S0022247X15007866Versió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
Let F be a finite field (or discrete) and let A andBB be vector spaces of F-valued continuous functions defined on locally compact spaces X and Y , respectively. We look at the representation of linear bijections ... [+]
Let F be a finite field (or discrete) and let A andBB be vector spaces of F-valued continuous functions defined on locally compact spaces X and Y , respectively. We look at the representation of linear bijections H:A⟶B by continuous functions h:Y⟶X as weighted composition operators. In order to do it, we extend the notion of Hamming metric to infinite spaces. Our main result establishes that under some mild conditions, every Hamming isometry can be represented as a weighted composition operator. Connections to coding theory are also highlighted. [-]
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Journal of Mathematical Analysis and Applications Volume 433, Issue 2, 15 January 2016Drets d'accés
Copyright © 2015 Elsevier Inc. All rights reserved.
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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