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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11391/177748
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