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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 weakly measurable function ： ウィキペディア英語版 weakly measurable function In mathematics — specifically, in functional analysis — a weakly measurable function taking values in a Banach space is a function whose composition with any element of the dual space is a measurable function in the usual (strong) sense. For separable spaces, the notions of weak and strong measurability agree. ==Definition== If (''X'', Σ) is a measurable space and ''B'' is a Banach space over a field K (usually the real numbers R or complex numbers C), then ''f'' : ''X'' → ''B'' is said to be weakly measurable if, for every continuous linear functional ''g'' : ''B'' → K, the function :$g\; \backslash circ\; f\; \backslash colon\; X\; \backslash to\; \backslash mathbf\; \backslash colon\; x\; \backslash mapsto\; g(f(x))$ is a measurable function with respect to Σ and the usual Borel ''σ''-algebra on K. 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「weakly measurable function」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.