贾正智, 龚小兵. Banach空间上的一些凸性模与光滑模及其关系[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2005, (1).DOI:
Banach空间上的一些凸性模与光滑模及其关系
摘要
定义了TP凸性模
TP光滑模
刻划了一致凸性与一致光滑性
并研究了取值于Banach空间的三角鞅不等式与一致凸性
一致光滑性的关系.
Abstract
We define the TP modulus of convexity and smoothness of Banach spaces and characterize uniform convexity and uniform smoothness. We also study the relationship between the trigonometric martingales with values in Banach spaces and uniform convexity and uniform smoothness.
关键词
Keywords
references
Davis W J,Garling D J H, Tomczak Jaegermann N. The complex convexity of quasi-normed linear spaces[J]. Journal of functional analysis, 1984,55:110-150.