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Disjointness preserving mappings on BSE Ditkin algebras

dc.contributor.authorFont, Juan J.
dc.date.accessioned2012-06-05T21:48:35Z
dc.date.available2012-06-05T21:48:35Z
dc.date.issued2011
dc.identifier.citationPublicationes Mathematicae Debrecen (2011), vol. 78, no. 2, 449-455ca_CA
dc.identifier.issn0033-3883
dc.identifier.urihttp://hdl.handle.net/10234/41004
dc.description.abstractLet A and B be regular Banach function algebras. A linear map T de_ned from A into B is said to be disjointness preserving or sepa- rating if f _ g _ 0 implies T(f) _ T(g) _ 0 for all f; g 2 A. We prove that if there exists a disjointness preserving bijection between two BSE Ditkin algebras with a BAI, then they are isomorphic as algebras. As a corollary we can deduce that two of these algebras are algebraically isomorphic if there exists a surjective isometry between them for the supremum normca_CA
dc.format.extent8 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherInstitute of Mathematics, University of Debrecen, Hungaryca_CA
dc.relation.isFormatOfVersió pre-print del document publicat a: http://www.math.klte.hu/publi/load_jpg.php?p=1553ca_CA
dc.rights© Institute of Mathematics, University of Debrecen, Hungaryca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectBanach function algebrasca_CA
dc.subjectDisjointness preserving mappingsca_CA
dc.subjectBSE Ditkin algebrasca_CA
dc.subjectAlgebraically isomorphicca_CA
dc.titleDisjointness preserving mappings on BSE Ditkin algebrasca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.5486/PMD.2011.4828
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.type.versioninfo:eu-repo/semantics/sumittedVersion


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