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| 两指标B值强鞅的收敛性与Banach空间的几何性质 | |
| 引用本文： | 李宏,叶臣. 两指标B值强鞅的收敛性与Banach空间的几何性质[J]. 宁波大学学报(理工版), 2011, 24(4): 41-44 |
| 作者姓名： | 李宏 叶臣 |
| 作者单位： | 宁波大学科学技术学院,浙江宁波,315211 |
| 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． |
| 关 键 词： | 两指标B值强鞅 a．s．收敛性 Radon-Nikodym性质 P可光滑 |
Convergence of Two-parameter Banach Space Valued Strong Martingales and Geometrical Properties of Banach Space |
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| LI Hong,YE Chen. Convergence of Two-parameter Banach Space Valued Strong Martingales and Geometrical Properties of Banach Space[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2011, 24(4): 41-44 | |
| Authors: | LI Hong YE Chen |
| Affiliation: | LI Hong,YE Chen(College of Science and Technology,Ningbo University,Ningbo 315211,China) |
| Abstract: | 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. |
| Keywords: | two-parameter Banach space valued strong martingale a.s. convergence Radon-Nikodym property p -smoothenable |
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