Completeness of L1-spaces for measures with values in complex vector spaces

被引：10

作者：

Fernandez, A

Naranjo, F

Ricker, WJ

机构：

[1] Escuela Super Ingn, Dept Matemat Aplicada 2, Seville 41092, Spain

[2] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 223卷 / 01期

关键词：

D O I：

10.1006/jmaa.1998.5956

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a simple and direct proof of the completeness of the space of C-valued integrable functions with respect to a vector measure taking its values in a complex Frechet space. A similar result is established (via a quite different argument) for closed measures taking their values in more general sequentially complete, locally convex Hausdorff spaces over C. (C) 1998 Academic Press.

引用

页码：76 / 87

页数：12

共 8 条

[1]

[Anonymous], REAL COMPLEX ANAL

[2] Rybakov's theorem for vector measures in Frechet spaces [J].