A universal reflexive space for the class of uniformly convex Banach spaces

被引：0

作者：

E. Odell

Th. Schlumprecht

机构：

[1] The University of Texas at Austin,Department of Mathematics

[2] Texas A&M University,Department of Mathematics

来源：

Mathematische Annalen | 2006年 / 335卷

关键词：

Banach Space; Normed Linear Space; Separable Banach Space; Convex Banach Space; Block Sequence;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that there exists a separable reflexive Banach space into which every separable uniformly convex Banach space isomorphically embeds. This solves problems raised by J. Bourgain [B] in 1980 and by W. B. Johnson in 1977 [Jo]. We also give intrinsic characterizations of separable reflexive Banach spaces which embed into a reflexive space with a block q-Hilbertian and/or a block p-Besselian finite dimensional decomposition.

引用

页码：901 / 916

页数：15

共 9 条

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