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Bilinear isometries on spaces of vector-valued continuous functions
dc.contributor.author | Font, Juan J. | |
dc.contributor.author | Sanchis López, Manuel | |
dc.date.accessioned | 2013-04-12T11:24:29Z | |
dc.date.available | 2013-04-12T11:24:29Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | http://hdl.handle.net/10234/61084 | |
dc.description.abstract | Let X, Y, Z be compact Hausdorff spaces and let E1, E2, E3 be Banach spaces. If T:C(X,E1)×C(Y,E2)→C(Z,E3) is a bilinear isometry which is stable on constants and E3 is strictly convex, then there exist a nonempty subset Z0 of Z, a surjective continuous mapping h:Z0→X×Y and a continuous function ω:Z0→Bil(E1×E2,E3) such that T(f,g)(z)=ω(z)(f(πX(h(z))),g(πY(h(z)))) for all z∈Z0 and every pair (f,g)∈C(X,E1)×C(Y,E2). This result generalizes the main theorems in Cambern (1978) [2] and Moreno and Rodríguez (2005) [7]. | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Journal of Mathametical Analysis and Applications, 385, 1 | ca_CA |
dc.rights | Copyright © 2011 Elsevier Inc. All rights reserved | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Bilinear isometries | ca_CA |
dc.subject | Spaces of vector-valued continuous functions | ca_CA |
dc.title | Bilinear isometries on spaces of vector-valued continuous functions | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1016/j.jmaa.2011.06.054 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0022247X11006020 | ca_CA |
dc.type.version | info:eu-repo/semantics/acceptedVersion |
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