A continous version of Orlicz-Pettis theorem via vector-valued Henstock-Kurzweil integrals

被引：2

作者：

Fong, CK ^{[1
]}

机构：

[1] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2002年 / 52卷 / 03期

关键词：

Pettis integrability; HK-integrals; Saks-Henstock's property;

D O I：

10.1023/A:1021719627933

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a Pettis integrable function from a closed interval to a Banach space is Henstock-Kurzweil integrable. This result can be considered as a continuous version of the celebrated Orlicz-Pettis theorem concerning series in Banach spaces.

引用

页码：531 / 536

页数：6

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