ASYMPTOTIC UNCONDITIONALITY

被引：8

作者：

Cowell, S. R. ^{[1
]}

Kalton, N. J. ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2010年 / 61卷 / 02期

关键词：

REFLEXIVE BANACH-SPACES; OPERATORS; SUBSPACES; PROPERTY; DUALS;

D O I：

10.1093/qmath/han036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a separable real Banach space embeds almost isometrically in a space Y with a shrinking 1-unconditional basis if and only if lim(n ->infinity) parallel to x* + x(n)*parallel to = lim(n ->infinity) parallel to x* - x(n)*parallel to whenever x* is an element of X*, (x(n)*)(n=1)(infinity) is a weak*-null sequence and both limits exist. If X is reflexive then Y can be assumed reflexive. These results provide the isometric counterparts of recent work of Johnson and Zheng.

引用

页码：217 / 240

页数：24

共 27 条

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Albiac F, 2006, GRAD TEXTS MATH, V233, P1

[2]

[Anonymous], 1991, Lond. Math. Soc. Lecture Notes

[3]

[Anonymous], CLASSICAL BANACH SPA

[4]

[Anonymous], GRUNDLEHREN MATHEMAT