An Asymptotic Property of Schachermayer's Space under Renorming

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• 作者：Kutzarova ; Denka ; Leung ; Denny H.
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2000
• 出版时间：October 15, 2000
• 年：2000
• 卷：250
• 期：2
• 页码：670-680
• 全文大小：118 K

文摘

Let X be a Banach space with closed unit ball B. Given kder=0 SRC=/images/glyphs/BOA.GIF>N, X is said to be k-β, respectively, (k+1)-nearly uniformly convex ((k+1)-NUC), if for every der=0 SRC=/images/glyphs/CDE.GIF>>0 there exists δ, 0<δ<1, so that for every xder=0 SRC=/images/glyphs/BOA.GIF>B and every der=0 SRC=/images/glyphs/CDE.GIF>-separated sequence (x_n)der=0 SRC=/images/glyphs/BOD.GIF>B there are indices (n_i)^k_i