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

页码：165 / 186

页数：22

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