翻訳と辞書 Words near each other ・ Locally catenative sequence ・ Locally compact field ・ Locally compact group ・ Locally compact quantum group ・ Locally compact space ・ Locally connected space ・ Locally constant function ・ Locally convex topological vector space ・ Locally cyclic group ・ Locally decodable code ・ Locally discrete collection ・ Locally finite ・ Locally finite collection ・ Locally finite group ・ Locally finite measure ・ Locally finite operator ・ Locally finite poset ・ Locally finite space ・ Locally finite variety ・ Locally Hausdorff space ・ Locally integrable function ・ Locally listed buildings in Crawley ・ Locally nilpotent ・ Locally normal space ・ Locally profinite group ・ Locally regular space ・ Locally simply connected space ・ Locally testable code ・ Locally unwanted land use ・ Locals casino Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Locally finite operator ： ウィキペディア英語版 Locally finite operator In mathematics, a linear operator $f:\; V\backslash to\; V$ is called locally finite if the space $V$ is the union of a family of finite-dimensional $f$-invariant subspaces. In other words, there exists a family $\backslash$ of linear subspaces of $V$, such that we have the following: * $\backslash bigcup\_\; V\_i=V$ * $(\backslash forall\; i\backslash in\; I)\; f()\backslash subseteq\; V\_i$ * Each $V\_i$ is finite-dimensional. ==Examples== * Every linear operator on a finite-dimensional space is trivially locally finite. * Every diagonalizable (i.e. there exists a basis of $V$ whose elements are all eigenvectors of $f$) linear operator is locally finite, because it is the union of subspaces spanned by finitely many eigenvectors of $f$. 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「Locally finite operator」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.