| 取值于拓扑向量空间的准齐性算子族的共鸣定理 |
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| 引用本文： | 丘京辉.取值于拓扑向量空间的准齐性算子族的共鸣定理[J].数学研究及应用,2005,25(1):134-138. |
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| 作者姓名： | 丘京辉 |
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| 作者单位： | 苏州大学数学系,江苏,苏州,215006 |
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| 摘 要： | 本文给出了取值于局部有界拓扑向量空间的准齐性算子族的共鸣定理,进而给出了从桶形 空间到一般局部凸空间的准齐性拟凸算子族的共鸣定理.
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| 关 键 词： | 局部有界空间 共鸣定理 桶形空间 准齐性算子 |
| 文章编号： | 1000-341X(2005)01-0134-05 |
| 收稿时间： | 2002/5/20 0:00:00 |
| 修稿时间： | 2002年5月20日 |
Resonance Theorems for Families of Quasi-Homogeneous Operators Taking Values in Topological Vector Spaces |
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| QIU Jing-hui.Resonance Theorems for Families of Quasi-Homogeneous Operators Taking Values in Topological Vector Spaces[J].Journal of Mathematical Research with Applications,2005,25(1):134-138. |
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| Authors: | QIU Jing-hui |
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| Institution: | Dept. of Math.; Suzhou University; Jiangsu; China |
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| Abstract: | In this paper, we give a resonance theorem for families of quasi-homogeneous operators taking values in locally bounded topological vector spaces. Moreover, we give a resonance theorem for families of quasi-homogeneous, quasi-convex operators from barrelled spaces to locally convex spaces. |
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| Keywords: | locally bounded spaces resonance theorem barrelled spaces quasi-homogeneous opera- tors |
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