The fatou property in p-convex banach lattices

被引：16

作者：

Curbera, Guillermo P.

Ricker, Werner J.

机构：

[1] Univ Seville, Fac Matemat, E-41080 Seville, Spain

[2] Katholische Univ Eichstatt Ingolstadt, Math Geog Fak, D-85072 Eichstatt, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 328卷 / 01期

关键词：

Banach function space; Fatou property; vector measure; space of p-integrable functions; p-convexity;

D O I：

10.1016/j.jmaa.2006.04.086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New features of the Banach function space L-omega(P)(nu), that is, the space of all nu-scalarly pth power integrable functions (with I <= p < infinity and nu any vector measure), are presented. The Fatou property plays an essential role and leads to a new representation theorem for a large class of abstract p-convex Banach lattices. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：287 / 294

页数：8

共 18 条

[1]

BARTLE RG, 1955, CAN J MATH, V7, P289

[2] OPERATORS INTO L1 OF A VECTOR MEASURE AND APPLICATIONS TO BANACH-LATTICES [J].