摘要
在严格凸Banach空间中 ,引入保持严格凸性的范数 ,得到了严格凸Banach空间积空间的严格凸性 ,证明了单空间和积空间中关于无穷维紧凸子集最佳逼近元的存在与唯一性定理 .
In this paper the strict convexity preserving norm is introduced in the strict convex Banach spaces.The strict convexity for the product spaces of the strict convex Banach spaces is obtained.The existence and uniqueness theorems for the element of best approximation on infinite dimensional compact convex subset in the simple space and the product spaces are proved.Some results known are improved and generalized.
出处
《商丘师范学院学报》
CAS
2000年第4期51-52,共2页
Journal of Shangqiu Normal University
