Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes

By Antonio Boccuto, Domenico Candeloro, Anna Rita Sambucini. 2014

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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.

Subfields: Applied Mathematics, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/d2a441e6937232f084d7f47f774e88141a18d335