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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 Banach *-algebra ： ウィキペディア英語版 Banach *-algebra A Banach *-algebra ''A'' is a Banach algebra over the field of complex numbers, together with a map * : ''A'' → ''A'', called ''involution'', that has the following properties: # (''x'' + ''y'') * = ''x'' * + ''y'' * for all ''x'', ''y'' in ''A''. # $(\backslash lambda\; x)^$ * = \barx^ * for every λ in C and every ''x'' in ''A''; here, $\backslash bar$ denotes the complex conjugate of λ. # (''xy'') * = ''y'' * ''x'' * for all ''x'', ''y'' in ''A''. # (''x'' *) * = ''x'' for all ''x'' in ''A''. In most natural examples, one also has that the involution is isometric, i.e. * ||''x'' *|| = ||''x''||, ==See also== *Algebra over a field *Associative algebra * *-algebra *C *-algebra. 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「Banach *-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.