强光滑Banach空间的充要条件  

Necessary and Sufficient Conditions for Strongly Smooth Banach Spaces

作　　者：曾韧英[1] 

机构地区：[1]重庆师范学院数学系

出　　处：《工程数学学报》1994年第3期113-117,共5页Chinese Journal of Engineering Mathematics

摘　　要：本文的主要结论为，实Ｂａｎａｃｈ空间Ｘ是强光滑的当且仅当时任给ｘ０∈Ｓ（Ｘ），都存在ｐ，ｑ＞０，ｐ＋ｑ＝１使这里ｕｎ，νｎ∈Ｓ（Ｘ）∩Ｂ（ｘ０，ｒ）且ｕｎ≠νｎ，（ｎ＝１，２，…）．本文的结论比文［１］—［６］及［６］好。Abstract In this paper,we get the main theorems as follows.(1) Banach space X is a strongly smooth space if and only if for xo∈S(X) cach there exist p,q>0and p+q=1 such thatfor un,n∈S(X)∩B(x0,r) and un≠νn,(n=1,2,…)(2) Banach space X is a strongly smooth space if and only if for cach x0∈S(X)there exist p,q>0and p+q=1such thatWhere

关 键 词：强光滑空间 支撑泛函 巴拿赫空间 

分 类 号：O177.2[理学—数学]