Szlenk indices and uniform homeomorphisms

被引：59

作者：

Godefroy, G

Kalton, NJ

Lancien, G

机构：

[1] Univ Paris 06, Equipe Anal, F-75252 Paris, France

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

[3] Univ Franche Comte, Equipe Math, UMR 6623, F-25030 Besancon, France

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 353卷 / 10期

关键词：

D O I：

10.1090/S0002-9947-01-02825-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some rather precise renorming theorems for Banach spaces with Szlenk index omega (0). We use these theorems to show the invariance of certain quantitative Szlenk-type indices under uniform homeomorphisms.

引用

页码：3895 / 3918

页数：24

共 28 条

[1] The dual of the Bourgain-Delbaen space [J].

Alspach, D .

ISRAEL JOURNAL OF MATHEMATICS, 2000, 117 (1) :239-259

[2]

ALSPACH D, IN PRESS SZLENK INDE

[3]

BENYAMINI Y, 1984, UNIFORM CLASSIFICATI, P15

[4]

DILWORTH SJ, 1995, STUD MATH, V112, P267

[5]

DUTRIEUX Y, IN PRESS HOUSTON J M

[6] BANACH SPACES WHICH CAN BE GIVEN AN EQUIVALENT UNIFORMLY CONVEX NORM [J].

ENFLO, P .

ISRAEL JOURNAL OF MATHEMATICS, 1972, 13 (3-4) :281-288

[7] Subspaces of c0(N) and Lipschitz isomorphisms [J].

Godefroy, G ;

Kalton, N ;

Lancien, G .

GEOMETRIC AND FUNCTIONAL ANALYSIS, 2000, 10 (04) :798-820

[8] The Banach space c0 is determined by its metric [J].

Godefroy, G ;

Kalton, NJ ;

Lancien, G .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 327 (09) :817-822

[9] THE UNIFORM NONEQUIVALENCE OF L(p) AND l(p) [J].

Gorelik, E. .

ISRAEL JOURNAL OF MATHEMATICS, 1994, 87 (1-3) :1-8

[10] Subspaces of the Bourgain-Delbaen space [J].

Haydon, R .

STUDIA MATHEMATICA, 2000, 139 (03) :275-293

← 1 2 3 →