Article ID Journal Published Year Pages File Type
6418368 Journal of Mathematical Analysis and Applications 2014 21 Pages PDF
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.

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Physical Sciences and Engineering Mathematics Analysis
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Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes
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