On Integrable Functions in Complete Bornological Locally Convex Spaces

被引：0
|
作者：
Ján Haluška
Ondrej Hutník
机构：
[1] Slovak Academy of Science,Mathematical Institute
[2] P. J. Šafárik University in Košice,Institute of Mathematics, Faculty of Science
来源：
Mediterranean Journal of Mathematics | 2012年 / 9卷
关键词：
Primary 46G10; Secondary 28B05; Inductive limit of Banach spaces; Dobrakov integral; locally convex space; bornology; sequential convergence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A Lebesgue-type integration theory in complete bornological locally convex topological vector spaces was introduced by the first author in [17]. In this paper we continue developing this integration technique and formulate and prove some theorems on integrable functions as well as some convergence theorems. An example of Dobrakov integral in non-metrizable complete bornological locally convex spaces is given.
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页码：165 / 186
页数：21
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