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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 Cylindrical σ-algebra ： ウィキペディア英語版 Cylindrical σ-algebra In mathematics — specifically, in measure theory and functional analysis — the cylindrical σ-algebra is a σ-algebra often used in the study of probability measures and random variables on Banach spaces. For a Banach space ''X'', the cylindrical σ-algebra Cyl(''X'') is defined to be the coarsest σ-algebra (i.e. the one with the fewest measurable sets) such that every continuous linear function on ''X'' is a measurable function. In general, Cyl(''X'') is ''not'' the same as the Borel σ-algebra on ''X'', which is the coarsest σ-algebra that contains all open subsets of ''X''. == See also == * Cylinder set * Cylinder set measure 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「Cylindrical σ-algebra」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.