| 局部凸空间上连续规函数Gateaux可微性与Fréchet可微性 |
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| 引用本文： | 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 |
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| 作者姓名： | 孙钰 魏文展 |
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| 作者单位： | [1]广西师范学院数学科学院,广西南宁530023 [2]广西经贸职业技术学院,广西南宁530021 |
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| 基金项目： | 广西自然科学基金项目（桂科自0728050）资助. |
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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Frechet可微性的充分必要条件．
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| 关 键 词： | 局部凸空间 连续规函数 Gateaux可微性 Frechet可微性 |
| 收稿时间： | 2010-07-15 |
| 修稿时间： | 2010-09-08 |
Gateaux and Fréchet Differentiability of Continuous Gauge Functions in Locally Convex Spaces |
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| SUN Yu and WEI Wen-zhan. Gateaux and Fréchet Differentiability of Continuous Gauge Functions in Locally Convex Spaces[J]. Guangxi Sciences, 2010, 17(4): 303-306 |
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| Authors: | SUN Yu and WEI Wen-zhan |
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| Affiliation: | 1. School of Mathematical Sciences, Guangxi Teachers Education University, Nanning, Guangxi,530023, China; 2. Guangxi Economic Trade Polytechnic, Nanning, Guangxi, 530021, China) |
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| Abstract: | We give the sufficient and necessary condition of Gateaux and Frechet differentiability of continuous gauge functions in locally convex spaces. |
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| Keywords: | locally convex spaces continuous gauge functions Gateaux differentiability Frechet differentiability |
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