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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 Continuous linear extension ： ウィキペディア英語版 Continuous linear extension In functional analysis, it is often convenient to define a linear transformation on a complete, normed vector space $X$ by first defining a linear transformation $\backslash mathsf$ on a dense subset of $X$ and then extending $\backslash mathsf$ to the whole space via the theorem below. The resulting extension remains linear and bounded (thus continuous). This procedure is known as continuous linear extension. ==Theorem== Every bounded linear transformation $\backslash mathsf$ from a normed vector space $X$ to a complete, normed vector space $Y$ can be uniquely extended to a bounded linear transformation $\backslash tilde$ is $c$ iff the norm of $\backslash tilde\{\backslash mathsf\{T\}\}$ is $c$. This theorem is sometimes called the B L T theorem, where B L T stands for ''bounded linear transformation''. 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「Continuous linear extension」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.