可测集值映射的Egorov定理

On Egorov Theorem for Measurable Set-Valued Mapping

讨论了取值可分自反 Banach空间中可测集值映射序列的 Egorov型收敛定理 ,在几种不同拓扑收敛意义下 ,刻画了可测集值映射序列的几乎处处收敛 .

Egorov convergence theorem for measurable set valued mapping's sequence in separable and self reflexive Banach space was studied under various topological convergent meanings,almost everywhere convergent property of measurable set valued mapping sequence was discussed.