On Integrable Functions in Complete Bornological Locally Convex Spaces

被引：1
|
作者：
Haluska, Jan [2 ]
Hutnik, Ondrej [1 ]
机构：
[1] PJ Safarik Univ Kosice, Fac Sci, Inst Math, Kosice 04001, Slovakia
[2] Slovak Acad Sci, Math Inst, Kosice 04001, Slovakia
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2012年 / 9卷 / 01期
关键词：
Inductive limit of Banach spaces; Dobrakov integral; locally convex space; bornology; sequential convergence; VECTOR-VALUED FUNCTIONS; RESPECT;
D O I：
10.1007/s00009-011-0114-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：165 / 186
页数：22
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