| 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。 |
| 关键词: Banach空间 严格凸 支撑泛函 光滑 Hilbert空间 |
| DOI： |
| 投稿时间：1992-06-15 |
| 基金项目: |
|
| Spherical Functions of Unit Ball and Geometric Characterization of Banach Spaces |
|
Wei Wenzhan
|
| (Guangxi Normal College) |
| Abstract: |
| 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. |
| Key words: Banach space Strictly convex Supporting functional Smooth Hilbert space |
