Estimates of Disjoint Sequences in Banach Lattices and R.I. Function Spaces

被引：0

作者：

R. Gonzalo

J. A. Jaramillo

机构：

[1] Universidad Politécnica,Departamento de Matemática Aplicada, Facultad de Informática de Madrid

[2] Universidad Complutense de Madrid,Departamento de Análisis Matemático, Facultad de Ciencias Matemáticas

来源：

Positivity | 2005年 / 9卷

关键词：

Upper and lower estimates; r.i. spaces; smoothness;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce UDSp-property (resp. UDTq-property) in Banach lattices as the property that every normalized disjoint sequence has a subsequence with an upper p-estimate (resp. lower q-estimate). In the case of rearrangement invariant spaces, the relationships with Boyd indices of the space are studied. Some applications of these properties are given to the high order smoothness of Banach lattices, in the sense of the existence of differentiable bump functions

引用

页码：233 / 248

页数：15

共 39 条

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