A new proof of James' sup theorem

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dc.creatorMorillon, Marianne
dc.date2005-05-10
dc.date.accessioned2026-07-07T05:19:46Z
dc.date.available2026-07-07T05:19:46Z
dc.descriptionWe provide a new proof of James' sup theorem for (non necessarily separable) Banach spaces. One of the ingredients is the following generalization of a theorem of Hagler and Johnson (1977) : "If a normed space $E$ does not contain any asymptotically isometric copy of $\ell^1(\IN)$, then every bounded sequence of $E'$ has a normalized block sequence pointwise converging to 0".
dc.identifierhttps://arxiv.org/abs/math/0505176
dc.identifierhttp://arxiv.org/abs/math/0505176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75137
dc.subjectFunctional Analysis
dc.subject46B ; 03E25
dc.titleA new proof of James' sup theorem
dc.typetext

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