The average distance property of classical Banach spaces II

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dc.creatorHinrichs, Aicke
dc.creatorWenzel, J.
dc.date2002-02-11
dc.date.accessioned2026-07-07T06:32:53Z
dc.date.available2026-07-07T06:32:53Z
dc.descriptionA Banach space X has the average distance property (ADP) if there exists a unique real number r such that for each positive integer n and all x_1,...,x_n in the unit sphere of X there is some x in the unit sphere of X such that 1/n \sum_{k=1}^n ||x_k-x|| = r. We show that l_p does not have the average distance property if p>2. This completes the study of the ADP for l_p spaces.
dc.description10 pages, to appear in Bull. Austr. Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0202093
dc.identifierhttp://arxiv.org/abs/math/0202093
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99009
dc.subjectFunctional Analysis
dc.subject46B20; 51K99; 52A21
dc.titleThe average distance property of classical Banach spaces II
dc.typetext

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