龚小兵, 贾正智. Banach空间的凸性模与光滑模[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2004, (1).DOI:
Banach空间的凸性模与光滑模
摘要
定义了TC凸性模
TC光滑模
刻划了一致凸性与一致光滑性
并研究了取值于Banach空间的特殊鞅不等式与一致凸性
一致光滑性的关系.
Abstract
We define the TC modulus of convexity and smoothness of Banach spaces and characterize uniform convexity and uniform smoothness. We also study the relationship between the special martingales with values in Banach spaces and uniform convexity and uniform smoothness.