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dyhandwk

铜虫 (初入文坛)

[交流] 【求助】一个《泛函分析》方面的题

设X是Hibert空间,Y是X的闭线性子空间,Y'是Y的正交补,证明Y为X上某个非零有界线性泛函的零空间(X上线性泛函f的零空间N(f)={f(x)=0|X中的所有x成立}),当且仅当Y'是一维子空间。

[ Last edited by laizuliang on 2008-4-9 at 10:34 ]
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wuhuanchun

金虫 (小有名气)

请参照conway的泛函分析
2楼2008-04-12 07:02:32
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