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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 Naimark's problem ： ウィキペディア英語版 Naimark's problem Naimark's Problem is a question in functional analysis. It asks whether every C *-algebra that has only one irreducible $$ * -representation up to unitary equivalence is isomorphic to the $$ * -algebra of compact operators on some (not necessarily separable) Hilbert space. The problem has been solved in the affirmative for special cases (specifically for separable and Type-I C *-algebras). used the $\backslash diamondsuit$-Principle to construct a C *-algebra with $\backslash aleph\_$ generators that serves as a counterexample to Naimark's Problem. More precisely, they showed that the statement "There exists a counterexample to Naimark's Problem that is generated by $\backslash aleph\_$ elements" is independent of the axioms of Zermelo-Fraenkel Set Theory and the Axiom of Choice ($\backslash mathsf$). Whether Naimark's problem itself is independent of $\backslash mathsf$ remains unknown. ==See also== *List of statements undecidable in $\backslash mathsf$ *Gelfand-Naimark Theorem 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「Naimark's problem」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.