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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:419

Article

Boccuto, Antonio¹  Candeloro, Domenico¹  Sambucini, Anna Rita¹ 

[1] Dept Math & Comp Sci, I-06123 Perugia, Italy

关键词: Vector lattice;    Filter convergence;    Modular;    Vitali convergence theorem;    Moment operator;    Ito integral;   

DOI  :  10.1016/j.jmaa.2014.05.014

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free