Operators on C[0,1] preserving copies of asymptotic l1 spaces

被引：6
|
作者：
Gasparis, I [1 ]
机构：
[1] Aristotle Univ Thessaloniki, Dept Math, Thessaloniki 54124, Greece
来源：
MATHEMATISCHE ANNALEN | 2005年 / 333卷 / 04期
关键词：
Operators on C(K) space; asymptotic l(1) space; weakly null sequence; Schreier sets;
D O I：
10.1007/s00208-005-0702-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given separable Banach spaces X, Y, Z and a bounded linear operator T:X -> Y, then T is said to preserve a copy of Z provided that there exists a closed linear subspace E of X isomorphic to Z and such that the restriction of T to E is an into isomorphism. It is proved that every operator on C([0,1]) which preserves a copy of an asymptotic l(1) space also preserves a copy of C([0,1]).
引用
收藏
页码：831 / 858
页数：28
相关论文
共 50 条
12345