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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 Open mapping theorem ： ウィキペディア英語版 Open mapping theorem Open mapping theorem may refer to: * Open mapping theorem (functional analysis) or Banach–Schauder theorem states that a surjective continuous linear transformation of a Banach space ''X'' onto a Banach space ''Y'' is an open mapping * Open mapping theorem (complex analysis) states that a non-constant holomorphic function on a connected open set in the complex plane is an open mapping * Open mapping theorem (topological groups) states that a surjective continuous homomorphism of a locally compact Hausdorff group ''G'' onto a locally compact Hausdorff group ''H'' is an open mapping if ''G'' is ''σ''-compact. Like the open mapping theorem in functional analysis, the proof in the setting of topological groups uses the Baire category 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「Open mapping theorem」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.