Banach空间的K一致光滑性

K uniform smoothness of Banach spaces

对Banach空间给出了一种K一致光滑性的概念,证明了它与K一致凸性具有对偶性,同时还给出Banach空间成为K一致光滑空间的一个定量形式的充分条件.

For a Banach space,we define a notion of K uniform smoothness which is proved to be a dual notion of K uniform rotundity.Moreover,a sufficient conditon in quantitative form for a Banach space to be K uniformly smooth is obtained.