翻訳と辞書 Words near each other ・ AW (Tony) Scott ・ Aw Aaakare Aa ・ Aw Boon Haw ・ Aw Boon Par ・ AW Canum Venaticorum ・ Aw Chu Kin ・ Aw Cmon ・ Aw Come Aw Wry ・ Aw Garweyne ・ AW II ・ Aw Naw ・ AW Rostamani Group ・ AW Sindhu Vidya Bhavan ・ Aw Tee Hong ・ Aw Yeah ・ AW*-algebra ・ Aw-ka-tha ・ Aw-li On-nam Ot-tjin ・ AW1x ・ AWA ・ Awa (given name) ・ AWA 3B Wireless Set ・ AWA African Cruiserweight Championship ・ AWA African Heavyweight Championship ・ AWA All-Star Wrestling ・ AWA America's Championship ・ AWA Brass Knuckles Championship ・ AWA British Empire Heavyweight Championship ・ AWA Championship Wrestling ・ Awa Dance Festival 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 AW*-algebra ： ウィキペディア英語版 AW*-algebra In mathematics, an AW *-algebra is an algebraic generalization of a W *-algebra. They were introduced by Irving Kaplansky in 1951. As operator algebras, von Neumann algebras, among all C *-algebras, are typically handled using one of two means: they are the dual space of some Banach space, and they are determined to a large extent by their projections. The idea behind AW *-algebras is to forgo the former, topological, condition, and use only the latter, algebraic, condition. == Definition == Recall that a projection of a C *-algebra $A$ is an element $p\; \backslash in\; A$ satisfying $p^$ *=p=p^2. A C *-algebra $A$ is an AW *-algebra when for every subset $S\; \backslash subseteq\; A$, the right annihilator :$\backslash mathrm\_R(S)=\backslash \backslash ,$ is generated as a left ideal by some projection $p$ of $A$, and similarly the left annihilator is generated as a right ideal by some projection $q$: :$\backslash forall\; S\; \backslash subseteq\; A\backslash ,\; \backslash exists\; p,q\; \backslash in\; \backslash mathrm(A)\; \backslash colon\; \backslash mathrm\_R(S)=Ap,\; \backslash quad\; \backslash mathrm\_L(S)=qA$. Hence an AW *-algebra is a C *-algebras that is at the same time a Baer *-ring. 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「AW*-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.