Hilbert空间和L_p空间中最佳逼近的强唯一性  

THE STRONG UNIQUENESS OF THE BEST APPROXIMATING IN HILBERT SPACES AND L_p SPACES

作　　者：张改荣[1] 

机构地区：[1]山东工业大学

出　　处：《山东科学》1996年第1期22-25,共4页Shandong Science

摘　　要：本文讨论了Ｈｉｌｂｅｒｔ空间和Ｌｐ（２≤Ｐ＜∞）中闭仿射子集对给定元素的最佳逼近的强唯一性．此外，由已有的闭凸集对给定元素最佳逼近的强唯一性导出了若干有用的推论．This article mainly discusses the strong uniqueness of the best approximating in Hilbert spaces and LP spaces by using closed affine subset for the given element. Apart from it, Some other useful corollaries have been inferred through the available strong uniqueness of the best approximating by using closed convex set for the given element.

关 键 词：最佳逼近 唯一性 希尔伯特空间 Lp空间 

分 类 号：O174.41[理学—数学]