弱局部k一致凸空间的若干性质

Some Properties of Weak Locally k-Uniformly Convex Space

本文引入弱局部k一致凸的概念，讨论了局部k一致凸、弱局部k一致凸、k严格凸之间的关系．并附带证明了局部k一致凸空间具有正规结构．

This paper deals with weak locally k-uniformly convex space. We prove that locally k-uniformly space is weak locally k-uniformly and hence is k-strict convex space, and locally k-uniformly convex spece bears normal structure.