Shellable weakly compact subsets of C[0,1]

被引：0

作者：

Lopez-Abad, J. ^{[1
]}

Tradacete, P. ^{[2
]}

机构：

[1] UAM, CSIC UAM UCM UC3M, Inst Ciencias Matemat ICMAT, C Nicolas Cabrera 13-15,Campus Cantoblanco, Madrid 28049, Spain

[2] Univ Carlos III Madrid, Dept Math, Leganes 28911, Madrid, Spain

来源：

MATHEMATISCHE ANNALEN | 2017年 / 367卷 / 3-4期

关键词：

REFLEXIVE BANACH-LATTICES; OPERATORS; FACTORIZATION;

D O I：

10.1007/s00208-016-1473-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for every weakly compact subset K of C[0, 1] with finite Cantor-Bendixson rank, there is a reflexive Banach lattice E and an operator such that . On the other hand, we exhibit an example of a weakly compact set of C[0, 1] homeomorphic to for which such T and E cannot exist. This answers a question of M. Talagrand in the 80's.

引用

页码：1777 / 1790

页数：14

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