Henstock and McShane integrals for Banach-valued functions

被引：1

作者：

Solodov, AP ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 117234, Russia

来源：

MATHEMATICAL NOTES | 1999年 / 65卷 / 5-6期

关键词：

Banach space; integration; Henstock integral; McShane integral; Saks-Henstock lemma; AS-operator; Denjoy integral; Lebesgue integral;

D O I：

10.1007/BF02675587

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We solve the problem of the equivalence of the HL-integral and the Henstock integral in Banach spaces. Namely, we prove that the Saks-Henstock lemma is valid in a Banach space if and only if it is finite-dimensional.

引用

页码：723 / 730

页数：8

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