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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 Fredholm's theorem ： ウィキペディア英語版 Fredholm's theorem In mathematics, Fredholm's theorems are a set of celebrated results of Ivar Fredholm in the Fredholm theory of integral equations. There are several closely related theorems, which may be stated in terms of integral equations, in terms of linear algebra, or in terms of the Fredholm operator on Banach spaces. The Fredholm alternative is one of the Fredholm theorems. ==Linear algebra== Fredholm's theorem in linear algebra is as follows: if ''M'' is a matrix, then the orthogonal complement of the row space of ''M'' is the null space of ''M'': :$(\backslash operatorname\; M)^\backslash bot\; =\; \backslash ker\; M.$ Similarly, the orthogonal complement of the column space of ''M'' is the null space of the adjoint: :$(\backslash operatorname\; M)^\backslash bot\; =\; \backslash ker\; M^$ *. 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「Fredholm's theorem」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.