| Banach空间中带扰动的m-增生算子的映射定理 |
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| 引用本文： | 王丽萍.Banach空间中带扰动的m-增生算子的映射定理[J].应用泛函分析学报,1999(3). |
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| 作者姓名： | 王丽萍 |
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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： | 利用范数假设条件给出了带扰动的ｍ一增生算子的一些映射定理．其结果是：Ｂ＋Ｄ Ｒ（Ｔ＋Ｃ）并且ｉｎｔ（Ｂ＋Ｄ） Ｒ（Ｔ＋Ｃ）的类型．其中Ｂ、Ｄ是实Ｂａｎａｃｈ空间Ｘ的子集，算子Ｔ：Ｘ Ｄ（Ｔ）→２~Ｘ至少是ｍ一增生的，扰动算子 Ｃ： Ｘ Ｄ（Ｃ）→Ｘ至少是紧、ｄｅｍｉ一半连续或完全连续的．这些结果推广和改进了已有文献的有关结果．
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| 关 键 词： | m-增生算子 完全连续映射 demi-半连续映射 凝聚映射 一致凸空间 |
Some Mapping Theorems for Perturbations of m-Accretive Operators in Banach Spaces |
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| WANG Li-ping.Some Mapping Theorems for Perturbations of m-Accretive Operators in Banach Spaces[J].Acta Analysis Functionalis Applicata,1999(3). |
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| Authors: | WANG Li-ping |
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| Abstract: | In this paper, appling the assumption condition on norm, we study the perturbations of m- accretive operators and give several results, which are given involving nonlinar range inclusions of the types:B D R (T C) and int (B D) R (T C), where B,D are subsets of a real Banach space X. The operator T: X D(T)- 2x is at least m-accretive and the perturbation C: X D(C)-X is at least compact, or demicontinous, or completely continuous. These results extend and improve the theorems of article 1], 4] and 5]. |
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| Keywords: | m-accretive operator completely continuous mapping demicontinuous mapping condensive mapping uniformly convex |
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