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Mathematische Annalen
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arXiv.org e-Print Archive
Preprint . 2005
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Mathematische Annalen
Article . 2006 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2005
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Mathematische Annalen
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A universal reflexive space for the class of uniformly convex Banach spaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 06 Jun 2006Embargo end date: 01 Jan 2005 English Publisher:Springer Science and Business Media LLCJournal:Mathematische Annalen, volume 335, pages 901-916 (issn: 0025-5831, eissn: 1432-1807, Copyright policy )
Authors: Th. Schlumprecht; Edward Odell;

doi: 10.1007/s00208-006-0771-6 , 10.48550/arxiv.math/0507509

arXiv: http://arxiv.org/abs/math/0507509

A universal reflexive space for the class of uniformly convex Banach spaces

Abstract

We show that there exists a separable reflexive Banach space into which every separable uniformly convex Banach space isomorphically embeds. This solves a problem of J. Bourgain. We also give intrinsic characterizations of separable reflexive Banach spaces which embed into a reflexive space with a block $q$-Hilbertian and/or a block $p$-Besselian finite dimensional decomposition.

v.2 (3 January 2007) 13 pages, amslatex

Related Organizations
Keywords

Mathematics - Functional Analysis, 46B03; secondary 46B20, FOS: Mathematics, secondary 46B20, 46B03, Functional Analysis (math.FA)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Average
Top 10%
Average
Green
bronze