Double Lusin condition and Vitali convergence theorem for the Itô–McShane Integral

被引：0
|
作者：
Mhelmar A. Labendia
Jeffer Dave A. Cagubcob
机构：
[1] Mindanao State University-Iligan Institute of Technology,Department of Mathematics and Statistics, Center for Graph Theory, Algebra and Analysis
[2] Mindanao State University-Iligan Institute of Technology, Premier Research Institute of Science and Mathematics, College of Science and Mathematics
来源：
Advances in Operator Theory | 2020年 / 5卷
关键词：
Belated McShane integral; Itô–McShane integral; -equi-integrable; -equi-; -Wiener process; 60H30; 60H05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we formulate a version of Vitali convergence theorem for the Itô–McShane integral of an operator-valued stochastic process with respect to a Q-Wiener process. We also characterize the integral using double Lusin condition.
引用
收藏
页码：453 / 473
页数：20
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