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

الملخص EN

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.