Mostrar el registro sencillo del ítem
Weight-preserving isomorphisms between spaces of continuous functions: The scalar case
dc.contributor.author | Ferrer González, María Vicenta | |
dc.contributor.author | Gary Gutierrez, Margarita | |
dc.contributor.author | Hernández, Salvador | |
dc.date.accessioned | 2016-06-16T10:33:00Z | |
dc.date.available | 2016-06-16T10:33:00Z | |
dc.date.issued | 2016-01 | |
dc.identifier.citation | 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. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/160759 | |
dc.description.abstract | 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. | ca_CA |
dc.description.sponsorShip | The rst and third listed authors acknowledge partial support by the Generalitat Valenciana, grant code: PROMETEO/2014/062; and by Universitat Jaume I, grant P1·1B2012-05. | ca_CA |
dc.format.extent | 13 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.language.iso | deu | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Journal of Mathematical Analysis and Applications Volume 433, Issue 2, 15 January 2016 | ca_CA |
dc.rights | Copyright © 2015 Elsevier Inc. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Banach–Stone Theorem | ca_CA |
dc.subject | MacWilliams Equivalence Theorem | ca_CA |
dc.subject | Separating map | ca_CA |
dc.subject | Hamming isometry | ca_CA |
dc.subject | Weight-preserving isomorphism | ca_CA |
dc.subject | Representation of linear isomorphisms | ca_CA |
dc.title | Weight-preserving isomorphisms between spaces of continuous functions: The scalar case | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1016/j.jmaa.2015.08.048 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0022247X15007866 | ca_CA |
dc.type.version | info:eu-repo/semantics/acceptedVersion |
Ficheros en el ítem
Este ítem aparece en la(s) siguiente(s) colección(ones)
-
MAT_Articles [759]
Articles de publicacions periòdiques