Weight-preserving isomorphisms between spaces of continuous functions: The scalar case
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Other documents of the author: Ferrer González, María Vicenta; Gary Gutierrez, Margarita; Hernández, Salvador
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Weight-preserving isomorphisms between spaces of continuous functions: The scalar caseDate
2016-01Publisher
ElsevierBibliographic 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.Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0022247X15007866Version
info:eu-repo/semantics/acceptedVersionSubject
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 ... [+]
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 2016Rights
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