| 杨泽恒,熊明.一类Banach空间中的分析性质及反例[J].数学研究及应用,2003,23(1):185~190 |
| 一类Banach空间中的分析性质及反例 |
| Analysis Properties and Examples for a Class of Banach Space |
| 投稿时间：2000-06-02 |
| DOI：10.3770/j.issn:1000-341X.2003.01.032 |
| 中文关键词: Banach空间 Schauder基 连续 可微 偏导数 坐标泛函 |
| 英文关键词:Banach space Schauder base continuous differentiable partial derivative. |
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| 摘要点击次数: 1983 |
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| 中文摘要: |
| 本文对具有Schauder基的无穷维Banach空间上的映射定义偏导数,并讨论f的可徽性与偏导数存在并连续的关系;同时,本文还时论象所在空间为具有Schauder基的空间时,映射f与坐标映射fi在可微性、连续性方面的关系. |
| 英文摘要: |
| We define partial derivative for a map f on Banach space with schauder base first, then discuss the relationship between differentiable property of f and existence and continuous of partial derivative of f. We also discuss the relationship between f and its coordinate functions fi about differential and continuous properties when the image space is a Banach space with Schauder base. |
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