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.
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页数：7
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