On p-convergence in measure of a sequence of measurable functions

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

File in questo prodotto:
Non ci sono file associati a questo prodotto.
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11391/177748
  • Citazioni
  • ND

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
 
 
 
Powered by IRIS-about IRIS-Utilizzo dei cookie
Logo CINECA  Copyright © 2020