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
Pages
21
From page
818
To page
838
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
Serial Year
2014
Journal title
Journal of Mathematical Analysis and Applications
Record number
1564738
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