On strongly asymptotic lp spaces and minimality期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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On strongly asymptotic lp spaces and minimality

Authors:	Dilworth S J; Ferenczi V; Kutzarova Denka; Odell E

Institution:	¹ Department of Mathematics University of South Carolina Columbia, SC 29208 USA ² Equipe d’Analyse Fonctionnelle Bôi te 186 Université Paris 6 4, place Jussieu 75252 Paris cedex 05 France ferenczi{at}ccr.jussieu.fr ³ Institute of Mathematics Bulgarian Academy of Sciences Sofia Bulgaria Current address: Department of Mathematics University of Illinois at Urbana-Champaign Urbana, IL 61801 USA denka{at}math.uiuc.edu ⁴ Department of Mathematics The University of Texas at Austin 1 University Station C1200 Austin, TX 78712-0257 USA odell{at}math.utexas.edu

Abstract:	Let 1 $≤$ p $≤$ ${infty}$ and let X be a Banach space with a semi-normalizedstrongly asymptotic ${ell}$ _p basis (e_i). If X is minimal and 1 $≤$ p <2, then X is isomorphic to a subspace of ${ell}$ _p. If X is minimaland 2 $≤$ p < ${infty}$ , or if X is complementably minimal and 1 $≤$ p $≤$ ${infty}$ , then (e_i) is equivalent to the unit vector basis of ${ell}$ _p (orc₀ if p = ${infty}$ ).

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