翻訳と辞書 Words near each other ・ Kadra Dam ・ Kadra Yusuf ・ Kadrenci ・ Kadri ・ Kadri (name) ・ Kadri Aytaç ・ Kadri Fellahoğlu ・ Kadri Gjata ・ Kadri Gopalnath ・ Kadish Luz ・ Kadish, Iran ・ Kadisha Valley ・ Kadisiyah ・ Kadisoka ・ Kadison transitivity theorem ・ Kadison–Kastler metric ・ Kadist Art Foundation ・ Kadita ・ Kaditcha ・ Kaditshwene ・ Kaditz Lime Tree ・ Kadivar ・ Kadiwan ・ Kadiweu language ・ Kadiweu people ・ Kadiyakurichy ・ Kadiyala ・ Kadiyala Ramachandra ・ Kadiyala Venkateswara Rao ・ Kadiyalur Uruttirangannanar 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 Kadison–Kastler metric ： ウィキペディア英語版 Kadison–Kastler metric In mathematics, the Kadison–Kastler metric is a metric on the space of C *-algebras on a fixed Hilbert space. It is the Hausdorff distance between the unit balls of the two C *-algebras, under the norm-induced metric on the space of all bounded operators on that Hilbert space. It was used by Richard Kadison and Daniel Kastler to study the perturbation theory of von Neumann algebras. ==Formal definition== Let $\backslash mathcal$ be a Hilbert space and $B(\backslash mathcal)$ denote the set of all bounded operators on $\backslash mathcal$. If $\backslash mathfrak$ and $\backslash mathfrak$ are linear subspaces of $B(\backslash mathcal)$ and $\backslash mathfrak\_1,\; \backslash mathfrak\_1$ denote their unit balls, respectively, the ''Kadison–Kastler'' distance between them is defined as, :$\backslash |\; \backslash mathfrak\; -\; \backslash mathfrak\; \backslash |\; :=\; \backslash sup\; \backslash \_1\; \backslash |\; :\; A\; \backslash in\; \backslash mathfrak\_1,\; B\; \backslash in\; \backslash mathfrak\_1\; \backslash \}.$ The above notion of distance defines a metric on the space of C *-algebras which is called the ''Kadison-Kastler metric''. 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「Kadison–Kastler metric」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.