A Lindenstrauss theorem for some classes of multilinear mappings

dc.creatorCarando, Daniel Germán
dc.creatorLassalle, Silvia Beatriz
dc.creatorMazzitelli, Martin Diego
dc.date.accessioned2018-08-02T19:55:37Z
dc.date.accessioned2018-11-06T15:33:12Z
dc.date.available2018-08-02T19:55:37Z
dc.date.available2018-11-06T15:33:12Z
dc.date.created2018-08-02T19:55:37Z
dc.date.issued2015-07-01
dc.identifierCarando, Daniel Germán; Lassalle, Silvia Beatriz; Mazzitelli, Martin Diego; A Lindenstrauss theorem for some classes of multilinear mappings; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 427; 1; 1-7-2015; 248-262
dc.identifier0022-247X
dc.identifierhttp://hdl.handle.net/11336/53962
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1898427
dc.description.abstractUnder some natural hypotheses, we show that if a multilinear mapping belongs to some Banach multilinear ideal, then it can be approximated by multilinear mappings belonging to the same ideal all whose Arens extensions attain their norms at the same point. We prove a similar result for the class of symmetric multilinear mappings. We see that the quantitative (Bollobás-type) version of these results fails in every multilinear ideal.
dc.languageeng
dc.publisherAcademic Press Inc Elsevier Science
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2014.11.004
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022247X14010348
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectINTEGRAL FORMULA
dc.subjectLINDENSTRAUSS-TYPE THEOREMS
dc.subjectNORM ATTAINING MULTILINEAR MAPPINGS AND POLYNOMIALS
dc.titleA Lindenstrauss theorem for some classes of multilinear mappings
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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