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Multilinear isometries on function algebras
dc.contributor.author | Hosseini, Maliheh | |
dc.contributor.author | Font, Juan J. | |
dc.contributor.author | Sanchis López, Manuel | |
dc.date.accessioned | 2016-03-14T10:25:04Z | |
dc.date.available | 2016-03-14T10:25:04Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | HOSSEINI, Maliheh; FONT, Juan J.; SANCHIS, Manuel. Multilinear isometries on function algebras. Linear and Multilinear Algebra, 2015, vol. 63, no 7, p. 1448-1457. | ca_CA |
dc.identifier.issn | 0308-1087 | |
dc.identifier.issn | 1563-5139 | |
dc.identifier.uri | http://hdl.handle.net/10234/153587 | |
dc.description.abstract | Let be function algebras (or more generally, dense subspaces of uniformly closed function algebras) on locally compact Hausdorff spaces , respectively, and let Z be a locally compact Hausdorff space. A -linear map is called a multilinear (or k-linear) isometry if (Formula presented.) Based on a new version of the additive Bishop’s Lemma, we provide a weighted composition characterization of such maps. These results generalize the well-known Holsztyński’s theorem and the bilinear version of this theorem provided in Moreno and Rodríguez [Studia Math. 2005;166:83–91] by a different approach. | ca_CA |
dc.description.sponsorShip | Research of J.J. Font and M. Sanchis was partially supported by the Spanish Ministry of Science and Education [grant number MTM2011-23118], and by Bancaixa [Projecte P11B2011-30]. | ca_CA |
dc.format.extent | 10 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Taylor & Francis | ca_CA |
dc.relation.isPartOf | Linear and Multilinear Algebra, 2015, vol. 63, no 7 | ca_CA |
dc.rights | © Taylor & Francis. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | function algebra | ca_CA |
dc.subject | k-linear isometry | ca_CA |
dc.subject | Choquet boundary | ca_CA |
dc.subject | additive Bishop’s Lemma | ca_CA |
dc.subject | peaking function | ca_CA |
dc.subject | uniform algebra | ca_CA |
dc.subject | Primary: 46J10 | ca_CA |
dc.subject | 47B38 | ca_CA |
dc.subject | Secondary: 47B33 | ca_CA |
dc.title | Multilinear isometries on function algebras | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/ 10.1080/03081087.2014.945446 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.tandfonline.com/doi/full/10.1080/03081087.2014.945446 | ca_CA |
dc.type.version | info:eu-repo/semantics/acceptedVersion |
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