On p-adic vector measure spaces

被引：10

作者：

Katsaras, A. K. ^{[1
]}

机构：

[1] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 365卷 / 01期

关键词：

Non-Archimedean fields; p-Adic measures; Locally convex spaces; Measurable functions; Convergence in measure;

D O I：

10.1016/j.jmaa.2009.10.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a separating algebra R of subsets of a set X, E a complete Hausdorff non-Archimedean locally convex space and m : R -> E a bounded finitely additive measure, we study some of the properties of the integrals with respect to m of scalar-valued functions on X. The concepts of convergence in measure, with respect to m. and of m-measurable functions are introduced and several results concerning these notions are given. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：342 / 357

页数：16

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