Onp-Convergence in Measure of a Sequence of Measurable Functions
Keyword(s):
In the study by Papanastassiou and Papachristodoulos, 2009 the notion ofp-convergence in measure was introduced. In a natural wayp-convergence in measure induces an equivalence relation on the spaceMof all sequences of measurable functions converging in measure to zero. We show that the quotient spaceℳis a complete but not compact metric space.
1966 ◽
Vol 18
◽
pp. 1264-1271
◽
Keyword(s):
Keyword(s):
Keyword(s):
Keyword(s):
2015 ◽
Vol 9
◽
pp. 19-29
Keyword(s):
Keyword(s):
Keyword(s):