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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Schur's property ： ウィキペディア英語版 Schur's property In mathematics, Schur's property, named after Issai Schur, is the property of normed spaces that is satisfied precisely if weak convergence of sequences entails convergence in norm. ==Motivation== When we are working in a normed space ''X'' and we have a sequence $(x\_)$ that converges weakly to $x$ (see weak convergence), then a natural question arises. Does the sequence converge in perhaps a more desirable manner? That is, does the sequence converge to $x$ in norm? A canonical example of this property, and commonly used to illustrate the Schur property, is the $\backslash ell\_1$ sequence space. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Schur's property」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.