On the Convergence and Regularity of Aumann-Pettis Integrable Multivalued Martingales

被引：0

作者：

El Allahi, Mohammed ^{[1
]}

El-Louh, M'hamed ^{[1
]}

Ezzaki, Fatima ^{[1
]}

机构：

[1] Univ Sidi Mohamed Ben Abdellah, Fac Sci & Technol, Fes, Morocco

来源：

JOURNAL OF CONVEX ANALYSIS | 2020年 / 27卷 / 04期

关键词：

Pettis multivalued martingales; regularity; representation theorem; Mosco convergence; linear topology; BANACH-SPACE; MULTIFUNCTIONS; THEOREMS; VALUES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a representation of Aumann-Pettis integrable multivalued martingales by Pettis integrable martingale selectors. Regularity of Aumann-Pettis integrable multivalued martingales and their convergence in Mosco sense, Wijsman topology, and linear topology are established.

引用

页码：1177 / 1194

页数：18

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