| Banach空间中带紧扰动或具紧预解式的增生算子的满射定理 |
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| 引用本文： | 朱亮.Banach空间中带紧扰动或具紧预解式的增生算子的满射定理[J].河北大学学报(自然科学版),1992(3). |
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| 作者姓名： | 朱亮 |
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| 作者单位： | 河北大学数学系 |
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| 摘 要： | 本文的目的是研究算子方程Tx+Cx=f的可解性问题,其中T为增生算子,C为紧的或连续有界算子。用度理论,主要是Leray-Schauder度理论建立了一些满射定理,这些结果是作者12]的继续,且推广和改进了Kartsatos7,9]及Hirano5]中的有关结果。
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| 关 键 词： | 增生算子 紧算子 扰动 |
Surjectirity Theorems Involving Compact Perturbations and Compact Resolvents of Accretive Operators in Banach Spaces |
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| Zhu Liang.Surjectirity Theorems Involving Compact Perturbations and Compact Resolvents of Accretive Operators in Banach Spaces[J].Journal of Hebei University (Natural Science Edition),1992(3). |
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| Authors: | Zhu Liang |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper we study the solvability of the equation Tx+Cx = f
where T is an accretive operator and C is compact or both continuous and bounded opera-tor.The methods employed in this paper involve degree theory argument. We establish some surjectivity theorems by using the theorey of Leray-schauder degree and solving the approximating equations Tx+Cx+( 1 / n)x = f.
Our theorems complement and extend certain results of the author in12],of Kartsatos in 7,9]and of Hirano5]. |
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| Keywords: | Accretive operator Compact operator Perturbation |
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