翻訳と辞書 Words near each other ・ Weak in the Presence of Beauty (song) ・ Weak inflection ・ Weak interaction ・ Weak interpretability ・ Weak inverse ・ Weak isospin ・ Weak key ・ Weak localization ・ Weak measurement ・ Weak Moments of the Shadows ・ Weak n-category ・ Weak noun ・ Weak NP-completeness ・ Weak ontology ・ Weak ontology (political concept) ・ Weak operator topology ・ Weak ordering ・ Weak position (poetry) ・ Weak reference ・ Weak salt ・ Weak Selection ・ Weak sister ・ Weak solution ・ Weak Spot ・ Weak symbol ・ Weak topology ・ Weak topology (polar topology) ・ Weak trace-class operator ・ Weak two bid ・ Weak value 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 Weak operator topology ： ウィキペディア英語版 Weak operator topology In functional analysis, the weak operator topology, often abbreviated WOT, is the weakest topology on the set of bounded operators on a Hilbert space ''H'', such that the functional sending an operator ''T'' to the complex number <''Tx'', ''y''> is continuous for any vectors ''x'' and ''y'' in the Hilbert space. Explicitly, for an operator ''T'' there is base of neighborhoods of the following type: choose a finite number of vectors ''xi'', continuous functionals ''yi'', and constants ''εi'' indexed by the same finite set. An operator ''S'' lies in the neighborhood if and only if ''yi(T(xi) - S(xi)) < εi'' for all ''i''. Equivalently, a net ''Ti'' ⊂ ''B''(''H'') of bounded operators converges to ''T'' ∈ ''B''(''H'') in WOT if for all ''y *'' in ''H *'' and ''x'' in ''H'', the net ''y *''(''Tix'') converges to ''y *''(''Tx''). == Relationship with other topologies on ''B''(''H'') == The WOT is the weakest among all common topologies on ''B''(''H''), the bounded operators on a Hilbert space ''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「Weak operator topology」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.