| Banach空间中m-增生、奇算子的映射定理 |
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| 引用本文： | 范瑞琴.Banach空间中m-增生、奇算子的映射定理[J].应用泛函分析学报,1999(3). |
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| 作者姓名： | 范瑞琴 |
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| 作者单位： | 河北大学数学系!河北保定071002 |
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| 摘 要： | 利用连续线性泛函满足的某些条件，给出了关于ｍ－增生、奇算子的一些映射结果，这些结果是对已有文献中相应结果的改进．其中第二节中考虑了算子的奇性，运用Ｂｏｒｓｕｋ定理得出了ｍ一增生、奇算子的映射定理；在第三节中讨论了凝聚映射的相应结果．
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| 关 键 词： | m-增生算子 奇算子 凝聚映射 紧映射 度理论 |
Some Mapping Theorems of m-Accretive Odd Operators in Banach Spaces |
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| FAN Rui-qin.Some Mapping Theorems of m-Accretive Odd Operators in Banach Spaces[J].Acta Analysis Functionalis Applicata,1999(3). |
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| Authors: | FAN Rui-qin |
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| Abstract: | Some mapping results on m-accretive odd operators are given by way of linear functional conditions. These results extend various results of 1], 2]. The oddness of operators is considered in section 2, so some mapping theorems are obtained by Borsuk's theorem. The corresponding results on condensive mapping are discussed in section 3. |
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| Keywords: | m-accretive operator odd operator condensive mapping compact mapping degree theory |
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