On the Weak-Riemann Integrability of Weak*-Continuous Functions

被引：1

作者：

Lone, Nisar A. ^{[1
]}

机构：

[1] Univ Kashmir, Dept Math, Srinagar 190006, Jammu & Kashmir, India

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 01期

关键词：

Grothendieck space; Riemann-integrable function; weak*-convergence;

D O I：

10.1007/s00009-016-0803-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we explore the question of weak-Riemann integrability of functions taking values in a dual Banach space and show that to ensure weak-Riemann integrability of weak*-continuous functions, it is both necessary and sufficient that the space in question be a Grothendieck space.

引用

页数：6

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