Uniform approximation on ideals of multilinear mappings

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dc.creatorBotelho, Geraldo
dc.creatorGalindo, Pablo
dc.creatorPellegrini, Leonardo
dc.date2008-10-30
dc.date.accessioned2026-07-07T10:14:14Z
dc.date.available2026-07-07T10:14:14Z
dc.descriptionFor each ideal of multilinear mappings $\cal M$ we explicitly construct a corresponding ideal $^{a}{\cal M}$ such that multilinear forms in $^{a}{\cal M}$ are exactly those which can be approximated, in the uniform norm, by multilinear forms in ${\cal M}$. This construction is then applied to finite type, compact, weakly compact and absolutely summing multilinear mappings. It is also proved that the correspondence ${\cal M} \mapsto ^{a}{\cal M}$ is Aron-Berner stability preserving.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0810.5540
dc.identifierhttp://arxiv.org/abs/0810.5540
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172810
dc.subjectFunctional Analysis
dc.subject46G25
dc.titleUniform approximation on ideals of multilinear mappings
dc.typetext

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