Function spaces not containing l1

被引：4
|
作者：
Argyros, SA
Manoussakis, A
Petrakis, M
机构：
[1] Natl Tech Univ Athens, Dept Math, GR-15780 Athens, Greece
[2] Tech Univ Crete, Dept Sci, GR-73100 Hania, Crete, Greece
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2003年 / 135卷 / 1期
关键词：
D O I：
10.1007/BF02776049
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For Omega bounded and open subset of R(d)0 and X a reflexive Banach space with 1-symmetric basis, the function space JF(X) (Omega) is defined. This class of spaces includes the classical James function space. Every member of this class is separable and has non-separable dual. We provide a proof of topological nature that JF(X)(Omega) does not contain an isomorphic copy of l(1). We also investigate the structure of these spaces and their duals.
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页码：29 / 81
页数：53
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