A Vitali-type theorem for vector lattice-valued modulars with respect to filter convergence is proved. Some applications are given to modular convergence theorems for moment operators in the vector lattice setting, and also for the Brownian motion and related stochastic processes.
Vitali-type theorems for filter convergence related to vector lattice -valued modulars and applications to stochastic processes
BOCCUTO, AntonioMembro del Collaboration Group
;CANDELORO, Domenico
Membro del Collaboration Group
;SAMBUCINI, Anna RitaMembro del Collaboration Group
2014
Abstract
A Vitali-type theorem for vector lattice-valued modulars with respect to filter convergence is proved. Some applications are given to modular convergence theorems for moment operators in the vector lattice setting, and also for the Brownian motion and related stochastic processes.File in questo prodotto:
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