解析 证 用反证法证.若 x_0∈M ,则由题设知, d=ρ(x_0,M)0.F 是,依泛函延拓定理,必可取到 f∈X^* ,使得 f(x_0)=d f(x)=0,x∈M , 弱 从而 f(x_n)=0 但是xn→xo,故 f(x_0)=lim_(n→∞)f(x_n)=0 , 导出矛盾.因此必有xo∈M. ...
2) weakly closed space 弱闭空间3) dense subspace 稠密子空间 1. A space \%X\% is said to have the property \%(wa)\% if for every open cover \%U of \%X\% and every dense subspace \%DX\%, there exists a discrete subset \%FD\% such that \%St(F, \%U \%)=X\%, where ...
设X是賦范线性空间,M为X的闭子空间,若M中有点列{xn}弱收敛于x∈X0,那么必有x0∈M的答案是什么.用刷刷题APP,拍照搜索答疑.刷刷题(shuashuati.com)是专业的大学职业搜题找答案,刷题练习的工具.一键将文档转化为在线题库手机刷题,以提高学习效率,是学习的生产力工具