Title of article :
Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes
Author/Authors :
A. Boccuto and D. Candeloro، نويسنده , , Antonio and Candeloro، نويسنده , , Domenico and Sambucini، نويسنده , , Anna Rita، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 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.
Keywords :
Vector lattice , Filter convergence , modular , Vitali convergence theorem , Moment operator , Itô Integral
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
