ASYMPTOTICALLY ISOMETRIC COPIES OF lp (1≤ p0 IN BANACH SPACES

doi:10.1016/S0252-9602(06)60050-7

数学物理学报(英文版)

ASYMPTOTICALLY ISOMETRIC COPIES OF l_p (1≤ p<∞) AND c₀ IN BANACH SPACES

陈东阳

厦门大学数学系, 厦门 361005

收稿日期:2003-11-04 修回日期:1900-01-01 出版日期:2006-04-20 发布日期:2006-04-20
通讯作者: 陈东阳
基金资助:
Supported by NSFC(10271060), NSFC(10171014) and the Doctoral Programme Foundation of Institution of Higher Education(20010055013).

ASYMPTOTICALLY ISOMETRIC COPIES OF l_p (1≤ p<∞) AND c₀ IN BANACH SPACES

Chen Dongyang

Department of Mathematics, Xiamen University, Xiamen 361005, China

Received:2003-11-04 Revised:1900-01-01 Online:2006-04-20 Published:2006-04-20
Contact: Chen Dongyang

摘要/Abstract

摘要：

Let X be a Banach space. If there exists a quotient space of X which is asymptotically isometric to l¹, then X contains complemented asymptotically isometric copies of l¹. Every infinite dimensional closed subspace of l₁ contains a complemented subspace of l₁ which is asymptotically isometric
to l₁. Let X be a separable Banach space such that X^*contains asymptotically isometric copies of l_p (1q (\frac{1}{p}+\frac{1}{q}=1). Complemented asymptotically isometric copies of c₀ in K(X,Y) and W(X,Y) are discussed. Let X be a Gelfand-Phillips space. If X contains asymptotically isometric copies of c₀, it has to contain complemented asymptotically isometric copies of c₀.

关键词: Asymptotically isometric copies of, complemented asymptoticaly isometric
copies of

Abstract:

Key words: Asymptotically isometric copies of, complemented asymptoticaly isometric
copies of

中图分类号:

46B20

陈东阳. ASYMPTOTICALLY ISOMETRIC COPIES OF l_p (1≤ p<∞) AND c₀ IN BANACH SPACES[J]. 数学物理学报(英文版), 2006, 26(2): 281-290.

Chen Dongyang. ASYMPTOTICALLY ISOMETRIC COPIES OF l_p (1≤ p<∞) AND c₀ IN BANACH SPACES[J]. Acta mathematica scientia,Series B, 2006, 26(2): 281-290.

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ASYMPTOTICALLY ISOMETRIC COPIES OF l_p (1≤ p<∞) AND c₀ IN BANACH SPACES

ASYMPTOTICALLY ISOMETRIC COPIES OF l_p (1≤ p<∞) AND c₀ IN BANACH SPACES

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ASYMPTOTICALLY ISOMETRIC COPIES OF lp (1≤ p<∞) AND c0 IN BANACH SPACES

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ASYMPTOTICALLY ISOMETRIC COPIES OF l_p (1≤ p<∞) AND c₀ IN BANACH SPACES

ASYMPTOTICALLY ISOMETRIC COPIES OF l_p (1≤ p<∞) AND c₀ IN BANACH SPACES