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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 Subnormal operator ： ウィキペディア英語版 Subnormal operator In mathematics, especially operator theory, subnormal operators are bounded operators on a Hilbert space defined by weakening the requirements for normal operators. Some examples of subnormal operators are isometries and Toeplitz operators with analytic symbols. ==Definition== Let ''H'' be a Hilbert space. A bounded operator ''A'' on ''H'' is said to be subnormal if ''A'' has a normal extension. In other words, ''A'' is subnormal if there exists a Hilbert space ''K'' such that ''H'' can be embedded in ''K'' and there exists a normal operator ''N'' of the form : for some bounded operators :$B\; :\; H^\; \backslash rightarrow\; H,\; \backslash quad\; \backslash mbox\; \backslash quad\; C\; :\; H^\; \backslash rightarrow\; H^.$ 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「Subnormal 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.