摘要
本文的主要结果是给出了复准弱局部一致凸空间、复局部一致凸空间的定义和复一致光滑空间的一个充分必要条件,并研究了Banach空间的复凸性、复光滑性、凸性、光滑性之间的关系.
This paper mainly gives the definitions of complex quasi-weak local uniformly convex space, complex local uniformly convex space, and a necessary and sufficient condition of complex uniformly smooth space; it studies the various relations between the complex convexity, complex smoothness, convexity and smoothness of Banach space.
出处
《华南师范大学学报（自然科学版）》
CAS
1989年第1期93-100,共8页
Journal of South China Normal University(Natural Science Edition)
关键词
复严格凸空间
复准弱局部一致凸空间
复局部一致凸空间
复一致凸空间
复光滑空间
复一致光滑空间
complex strictly convex space
complex quasi-weak local uniformly convex spaces complex local uniformly convex spaces complex uniformly convex space
complex smooth spaces complex uniformly smooth space
