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2011 On p -Convergence in Measure of a Sequence of Measurable Functions
A. Boccuto, Ch. Papachristodoulos, N. Papanastassiou
Abstr. Appl. Anal. 2011: 1-7 (2011). DOI: 10.1155/2011/582576


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 is a complete but not compact metric space.


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A. Boccuto. Ch. Papachristodoulos. N. Papanastassiou. "On p -Convergence in Measure of a Sequence of Measurable Functions." Abstr. Appl. Anal. 2011 1 - 7, 2011.


Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1221.28009
MathSciNet: MR2800071
Digital Object Identifier: 10.1155/2011/582576

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
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