翻訳と辞書 Words near each other ・ Grotesque body ・ Grotesque dance ・ Grotesque Impalement ・ Grotesque Wedlock ・ Grotesquerie ・ Groth ・ Grothe ・ Grothendieck category ・ Grothendieck connection ・ Grothendieck construction ・ Grothendieck duality ・ Grothendieck existence theorem ・ Grothendieck group ・ Grothendieck inequality ・ Grothendieck local duality ・ Grothendieck space ・ Grothendieck spectral sequence ・ Grothendieck topology ・ Grothendieck trace formula ・ Grothendieck universe ・ Grothendieck's connectedness theorem ・ Grothendieck's Galois theory ・ Grothendieck's relative point of view ・ Grothendieck's Tôhoku paper ・ Grothendieck–Katz p-curvature conjecture ・ Grothendieck–Ogg–Shafarevich formula ・ Grothendieck–Riemann–Roch theorem ・ Grothendieck–Teichmüller group ・ Grothusenkoog ・ Grotius Lectures 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 Grothendieck space ： ウィキペディア英語版 Grothendieck space In mathematics, a Grothendieck space, named after Alexander Grothendieck, is a Banach space ''X'' such that for all separable Banach spaces ''Y'', every bounded linear operator from ''X'' to ''Y'' is weakly compact, that is, the image of a bounded subset of ''X'' is a weakly compact subset of ''Y''. Every reflexive Banach space is a Grothendieck space. Conversely, a separable Grothendieck space ''X'' must be reflexive, since the identity from ''X'' to ''X'' is weakly compact in this case. Grothendieck spaces which are not reflexive include the space ''C''(''K'') of all continuous functions on a Stonean compact space ''K'', and the space ''L''∞(''μ'') for a positive measure ''μ'' (a Stonean compact space is a Hausdorff compact space in which the closure of every open set is open). ==See also== * Dunford–Pettis property 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「Grothendieck space」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.