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.



Titolo: On p-convergence in measure of a sequence of measurable functions
Autori: 
BOCCUTO, Antonio
mostra contributor esterni 
Data di pubblicazione: 2011
Rivista: 
ABSTRACT AND APPLIED ANALYSIS  
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.
Handle: http://hdl.handle.net/11391/177748
Appare nelle tipologie:1.1 Articolo in rivista

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http://hdl.handle.net/11391/177748
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