On p-Convergence in Measure of a Sequence of Measurable Functions

被引：0

作者：

Boccuto, A. ^{[2
]}

Papachristodoulos, Ch. ^{[1
]}

Papanastassiou, N. ^{[1
]}

机构：

[1] Univ Athens, Dept Math, Athens 15784, Greece

[2] Univ Perugia, Dept Math & Comp Sci, I-06123 Perugia, Italy

来源：

ABSTRACT AND APPLIED ANALYSIS | 2011年

关键词：

SPACES;

D O I：

10.1155/2011/582576

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the study by Papanastassiou and Papachristodoulos, 2009 the notion of p-convergence in measure was introduced. In a natural way p-convergence in measure induces an equivalence relation on the space M of all sequences of measurable functions converging in measure to zero. We show that the quotient space M is a complete but not compact metric space.

引用

页数：7

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