In this paper we show that 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 associated with M is a complete but not compact metric space.
On p-convergence in measure of a sequence of measurable functions
BOCCUTO, Antonio;
2011
Abstract
In this paper we show that 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 associated with M is a complete but not compact metric space.File in questo prodotto:
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