Complemented subspaces of spaces of multilinear forms and Tensor products

被引：4
|
作者：
Sánchez, FC [1 ]
机构：
[1] Univ Extremadura, Dept Matemat, E-06071 Badajoz, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 254卷 / 02期
关键词：
Banach space; multilinear form; tensor product; complemented subspace; Banach module; Banach algebra; Kothe space;
D O I：
10.1006/jmaa.2000.7273
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Among other things, we show that L-q is isomorphic to a complemented subspace of the space of multilinear forms on L-p1 x (...) x L-pn, where q greater than or equal to 1 is given by 1/p(1) + (...) + 1/p(n) + l/q = 1. The proof strongly depends on the L-infinity-module structure of the spaces L-p. (C) 2001 Academic Press.
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页码：645 / 653
页数：9
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