On ð ‘ -Convergence in Measure of a Sequence of Measurable Functions

A. Boccuto, Ch. Papachristodoulos and N. Papanastassiou

Abstract and Applied Analysis, 2011, vol. 2011, 1-7

Abstract:

In the study by Papanastassiou and Papachristodoulos, 2009 the notion of ð ‘ -convergence in measure was introduced. In a natural way ð ‘ -convergence in measure induces an equivalence relation on the space ð ‘€ 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)
http://downloads.hindawi.com/journals/AAA/2011/582576.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2011/582576.xml (text/xml)

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:hin:jnlaaa:582576

DOI: 10.1155/2011/582576

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().