一致凸的若干等价命题

Several Equivalence Propositions of Uniform Convex

一致凸的Banach空间是一类结构性质很好的空间,它是泛函分析的一个重要内容,并在最佳逼近论、空间的自反性和光滑分析等方面有广泛应用.文献[1]给出了一致凸及其等价定义,本文将其改造和推广,得出了几个等价命题,给Banach空间理论的相关问题的研究提供了新的途径和方法。

Uniform Convex space is well structured and it is an important content of functional analysis, which is widely used in the best approximation theory, the reflexive of space and smooth analysis. Article [ 1 ]gives a definition of convex and its equivalent. The paper promotes and transforms it, and obtains the following several equivalent propositions.