两指标B值强鞅的收敛性与Banach空间的几何性质  

Convergence of Two-parameter Banach Space Valued Strong Martingales and Geometrical Properties of Banach Space

作　　者：李宏[1] 叶臣[1] 

机构地区：[1]宁波大学科学技术学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2011年第4期41-44,共4页Journal of Ningbo University：Natural Science and Engineering Edition

摘　　要：证明了L1有界的两指标B值强鞅a.s.收敛的充分必要条件是Banach空间具有Radon-Nikodym性质,并进一步利用两指标B值强鞅的收敛性刻划了Banach空间的几何性质.Any L1 bounding two-parameter Banach space valued strongmartingale converges almost surely to an integrable Banach Space valued random variable if and only if Banach space has the Radon-Nikodym property. Furthermore, the geometrical properties of Banach space are characterized by the convergence properties of two-parameter Banach space valued strong martingale.

关 键 词：两指标B值强鞅 a.s.收敛性 RADON-NIKODYM性质 P可光滑 

分 类 号：O211.6[理学—概率论与数理统计]