| 复局部β-凸空间l~β与L~β[0,1]的共轭锥的次表示定理 |
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| 引用本文： | 王见勇.复局部β-凸空间l~β与L~β[0,1]的共轭锥的次表示定理[J].数学学报,2005,48(6):1155-1166. |
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| 作者姓名： | 王见勇 |
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| 作者单位： | 常熟理工学院数学系 常熟 |
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| 基金项目： | 江苏省自然科学基金资助项目 |
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| 摘 要： | 本文研究复局部β-凸空间l~β与L~β0,1](0<β<1)的共轭锥(l~β)_β~*与(L~β0,1])_β~*的构造与表示问题,得到(l~β)_β~*(?)mM_β~+(T),(L~β0,1])_β~*(?)L~∞M_β~+(I×T),称为(l~β)_β~*与(L~β0,1])_β~*的次表示定理。
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| 关 键 词： | 局部β-凸空间 赋β-范空间 赋范共轭锥 |
| 文章编号： | 0583-1431（2005）06-1155-12 |
| 收稿时间： | 2004-07-21 |
| 修稿时间： | 2004-07-212005-02-01 |
The Subrepresentation Theorems of the Conjugate Cones of Complex Locally β-Convex Spaces l~β and L~β[0, 1] |
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| Jian Yong WANG.The Subrepresentation Theorems of the Conjugate Cones of Complex Locally β-Convex Spaces l~β and L~β[0, 1][J].Acta Mathematica Sinica,2005,48(6):1155-1166. |
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| Authors: | Jian Yong WANG |
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| Institution: | Jian Yong WANG Department of Mathematics, Changshu Institute of Technology, Jiangsu 215500, P. R. China |
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| Abstract: | In this paper, for 0<β<1, we study the structure and representation problems of the conjugate cones of complex locally β-convex spaces l~β and L~β0, 1], obtain (l~β)_β~*(?)mM_β~+(T), (L_β0, 1])_β~*(?)L~∞M_β~+(I×T), called the subrepresentation theorems of (l~β)_β~* and (L~β0, 1])_β~*. |
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| Keywords: | Locally β-convex space β-normed space Normed conjugate cone |
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