Weight-preserving isomorphisms between spaces of continuous functions: The scalar case
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Otros documentos de la autoría: Ferrer González, María Vicenta; Gary Gutierrez, Margarita; Hernández, Salvador
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Weight-preserving isomorphisms between spaces of continuous functions: The scalar caseFecha de publicación
2016-01Editor
ElsevierCita bibliográfica
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.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S0022247X15007866Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
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 2016Derechos de acceso
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