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關于巴拿赫格中的l∞漸進等距拷貝
In this paper, we show that any σ-complete Banach lattice, with a σ-order semicontinuous but not σ-order continuous norm, contains an asymptotically isometric copy of l∞.We also get that the Fenchel-Orlicz space with the Orlicz norm may not contain an asymptotically isometric copy of l∞.
作 者: 安桂梅 AN Gui Mei 作者單位: School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China 刊 名: 數學研究與評論 ISTIC PKU 英文刊名: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION 年,卷(期): 2008 28(3) 分類號: O177.3 關鍵詞: asymptotically isometric copy Banach lattice Fenchel-Orlicz space【巴拿赫格中的l∞漸進等距拷貝】相關文章:
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