Henstock and McShane integrals for Banach-valued functions

被引：0

作者：

A. P. Solodov

机构：

[1] M. V. Lomonosov Moscow State University,

来源：

Mathematical Notes | 1999年 / 65卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We solve the problem of the equivalence of theH L-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：7

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