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
收藏
页码：342 / 357
页数：16
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