复一致凸空间的积空间  

A Product Space of Complex Uniform Convex Spaces

作　　者：王丰[1] 

机构地区：[1]南京理工大学理学院,江苏南京210094

出　　处：《淮北煤炭师范学院学报（自然科学版）》2006年第1期13-15,共3页Journal of Huaibei Coal Industry Teachers College(Natural Science edition)

摘　　要：Vasile和Ioana已证明了两个复严格凸空间的积空间在2范数下是复严格凸的.复一致凸空间是比复严格凸空间更强的空间.文章将证明两个复一致凸空间的积空间在p(1p<∞)范数和∞范数下仍是复一致凸空间.Vasile and Ioana proved that a product space of two complex strict convex spaces is complex strict convex space by the 2-norm. The complex uniform convex space is stronger than the complex strict convex space. This paper shows that a product space of two complex uniform convex spaces is complex uniform convex space by the p-norm and ∞-norm.

关 键 词：复BANACH空间 复一致凸 积空间 

分 类 号：O174.13[理学—数学]