摘要
把支撑泛函作用到Banach空间单位球面的弧上,得到一类实值函数。并证明了Banach空间的许多基本几何特征可由此类实函数相应的性质刻划。
This paper starts by considering the Linear functional fz (∈‖z‖) defined on a sphere of unit ball which can be denoted by some real function defined on R. Some geometric characterization of Banach spaces can be described by some basic properties of the real functions.
出处
《广西科学院学报》
1992年第2期67-72,共6页
Journal of Guangxi Academy of Sciences
关键词
严格凸
光滑
巴拿赫空间
球面函数
Banach space
Strictly convex
Supporting functional
Smooth
Hilbert space
