| 引用本文： |
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孙钰,魏文展.局部凸空间上连续规函数Gateaux可微性与Fréchet可微性[J].广西科学,2010,17(4):303-306. [点击复制]
- SUN Yu,WEI Wen-zhan.Gateaux and Fréchet Differentiability of Continuous Gauge Functions in Locally Convex Spaces[J].Guangxi Sciences,2010,17(4):303-306. [点击复制]
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| 摘要: |
| 分别给出局部凸空间上连续规函数Gateaux可微性与Fréchet可微性的充分必要条件. |
| 关键词: 局部凸空间 连续规函数 Gateaux可微性 Fréchet可微性 |
| DOI： |
| 投稿时间：2010-07-15修订日期：2010-09-08 |
| 基金项目:广西自然科学基金项目(桂科自0728050)资助。 |
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| Gateaux and Fréchet Differentiability of Continuous Gauge Functions in Locally Convex Spaces |
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SUN Yu1, WEI Wen-zhan2
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| (1.School of Mathematical Sciences, Guangxi Teachers Education University, Nanning, Guangxi, 530023, China;2.Guangxi Economic Trade Polytechnic, Nanning, Guangxi, 530021, China) |
| Abstract: |
| We give the sufficient and necessary condition of Gateaux and Fréchet differentiability of continuous gauge functions in locally convex spaces. |
| Key words: locally convex spaces continuous gauge functions Gateaux differentiability Fréchet differentiability |
