| 对非线性算子和的值域定理的改进 |
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| 引用本文： | 王桂祥.对非线性算子和的值域定理的改进[J].河北农业大学学报,1996,19(2):77-82. |
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| 作者姓名： | 王桂祥 |
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| 作者单位： | 河北农业大学基础部 |
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| 摘 要： | Ｘ为实Ｂａｎａｃｈ空间，其对偶空间为Ｘ．Ｓ：Ｄ（Ｓ）Ｘ→Ｘ，Ｔ：Ｄ（Ｔ）Ｘ→Ｘ为两个非线性算子。本文所讨论的问题属于方程Ｓｘ＋Ｔｘ＝ｆ的可解性问题，并得到了使Ｓ，Ｔ在更弱的条件下有Ｒ（Ｓ）Ｒ（Ｓ＋Ｔ）及ｉｎｔＲ（Ｓ）（Ｓ＋Ｔ）成立的两个定理，推广、改进了已有的有关算子和的值域定理。
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| 关 键 词： | 紧算子 增生算子 m－增生算子 对偶映射 |
Improvement of Theorems for Range of Sums of Nonlinear Operators |
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| Wang Guixiang.Improvement of Theorems for Range of Sums of Nonlinear Operators[J].Journal of Agricultural University of Hebei,1996,19(2):77-82. |
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| Authors: | Wang Guixiang |
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| Abstract: | Let X be a real Banach space with dual X￣*. S:D(S) X → X,T,D(T) D(S)→ X are two nonlinear operators. This paper considers the solvability of Sx +Tx = f and obtains two theorems so that R(S) and intR(S) R(S + T) are hold under the weaker conditions. The results improve the certain results for range of sums of nonlinear operators. |
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| Keywords: | Compact operator Accretive operator M-accretive operator Duality mapping |
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