Type, cotype and generalized Rademacher functions

被引：3
|
作者：
Botelho, G [1 ]
机构：
[1] Univ Fed Uberlandia, Dept Matemat, BR-38400902 Uberlandia, MG, Brazil
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1998年 / 28卷 / 04期
关键词：
D O I：
10.1216/rmjm/1181071713
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main goal of this paper is to show that the traditional Rademacher functions can be replaced, up to a change of constants, by the generalized Rademacher functions in the definitions of type and cotype in complex Banach spaces. It is also shown that there are standard type Kahane inequalities for the generalized Rademacher functions. As an application we prove the continuity of the tensor product of certain multilinear mappings and homogeneous polynomials.
引用
收藏
页码：1227 / 1250
页数：24
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