| 拟赋范空间若干分析结构及其应用背景 |
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| 引用本文： | 苏永福. 拟赋范空间若干分析结构及其应用背景[J]. 天津工业大学学报, 2004, 23(6): 77-79 |
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| 作者姓名： | 苏永福 |
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| 作者单位： | 天津工业大学,理学院,天津,300160 |
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| 基金项目： | 天津市学科建设基金资助项目(100580204) |
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| 摘 要： | 拟赋范空间是一类非局部凸线性拓扑空间，在非局部凸空间中它具有较好性质，许多泛函分析理论可建立在此空间上．文中首先证明了拟范数是一种吸收平衡非凸集的Minkowski泛函，再得到了拟赋范空间中正规锥的若干结论，同时指出了拟赋范空间若干应用背景．
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| 关 键 词： | 拟范数 K-凸集 Minkowski泛函 正规锥 半序 |
| 文章编号： | 1671-024X(2004)06-0077-03 |
| 修稿时间： | 2003-09-02 |
Analytical structures of quasi-normed spaces and its application |
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| SU Yong-fu. Analytical structures of quasi-normed spaces and its application[J]. Journal of Tianjin Polytechnic University, 2004, 23(6): 77-79 |
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| Authors: | SU Yong-fu |
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| Abstract: | Quasi-normed spaces are a kind of non-locally convex linear topological spaces.However these non-locally convex spaces are possessed of characteristic topological structures, so that many fundamental theories on the functional analysis can be established on these spaces. Firstly, It is proved that quasi-norm is a Minkowski functional for a kind of absorbing balanced non-convex. Secondly, some results of the normal cone is proved.In the meantime, the application of quasi-normed spaces is pointed out. |
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| Keywords: | quasi-normed space K-convex set minkowski functional cone partial order set |
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