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

A. Boccuto, Ch. Papachristodoulos and N. Papanastassiou

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: 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.

Date: 2011
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2011/582576

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:582576

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().