Complemented copies of lp spaces in tensor products

被引:1
|
作者
Cilia, Raffaella
Gutierrez, Joaquin M.
机构
[1] Univ Catania, Fac Sci, Dept Matemat, I-95100 Catania, Italy
[2] Univ Politecn Madrid, Dept Matemat Aplicada, ETS Ingn Ind, Madrid 28006, Spain
关键词
l(p) space; injective and projective tensor product;
D O I
10.1007/s10587-007-0062-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give sufficient conditions on Banach spaces X and Y so that their projective tensor product X circle times Y-pi, their injective tensor product X circle times Y-epsilon, or the dual (X,Y)* contain complemented copies of l(p).
引用
收藏
页码:319 / 329
页数:11
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