| 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,2001,3(1):9-15. |
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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Kartsatos and HE Zhen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-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 Bamach空间 连续线性泛函 Borsuk定理 |
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,2001,3(1):9-15. |
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| Authors: | FAN Rui-qin |
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| Institution: | FAN Rui qin Department of Mathematics,Hebei University,Baoding Hebei 071002,China |
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| Abstract: | Some mapping results on m-accretive odd operators are given by means of linear functionalconditions. These results extend various resutls of Kartsatos and HE Zhen. The oddness of operators isconsidered in section 2, some mapping theorems are obtained by using Borsuk's theorem. The correspondingresults 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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