On hereditarily indecomposable Banach spaces

被引：1
作者：
Figiel, T [1 ]
Frankiewicz, R
Komorowski, R
Ryll-Nardzewski, C
机构：
[1] Polish Acad Sci, Math Inst, Warsaw, Poland
[2] Wroclaw Tech Univ, Inst Math, PL-50370 Wroclaw, Poland
来源：
ANNALS OF PURE AND APPLIED LOGIC | 2004年 / 126卷 / 1-3期
关键词：
Ramsey set; Banach space; hereditarily indecomposable Banach space; unconditional basis;
D O I：
10.1016/j.apal.2003.11.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A set-theoretical proof of Gowers' Dichotomy Theorem is presented together with its application to another dichotomy concerning asymptotic l(2) basic sequences. (C) 2003 Published by Elsevier B.V.
引用
收藏
页码：293 / 299
页数：7
相关论文
共 12 条
[1]  
[Anonymous], 1977, STUDIES LOGIC FDN MA
[2]  
CASAZZA PG, 1989, LECT NOTES MATH, V1363, P1
[3]   NEW PROOF THAT ANALYTIC SETS ARE RAMSEY [J].
ELLENTUCK, E .
JOURNAL OF SYMBOLIC LOGIC, 1974, 39 (01) :163-165
[4]   Selecting basic sequences in φ-stable Banach spaces [J].
Figiel, T ;
Frankiewicz, R ;
Ryll-Nardzewski, C .
STUDIA MATHEMATICA, 2003, 159 (03) :499-515
[5]  
GOWERS W. T, 1993, J AM MATH SOC, V6, P851, DOI 10.1090/S0894-0347-1993-1201238-0
[6]   A new dichotomy for Banach spaces [J].
Gowers, WT .
GEOMETRIC AND FUNCTIONAL ANALYSIS, 1996, 6 (06) :1083-1093
[7]  
Lindenstrauss J., 1979, ERGEB MATH GRENZGEB, V97
[8]  
Lindenstrauss J., 1977, CLASSICAL BANACH SPA, VI
[9]  
Pisier G., 1989, VOLUME CONVEX BODIES
[10]   BANACH-SPACE WITH FEW OPERATORS [J].
SHELAH, S .
ISRAEL JOURNAL OF MATHEMATICS, 1978, 30 (1-2) :181-191
12