| 一类非线性算子的满射性 |
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| 引用本文： | 傅迎华.一类非线性算子的满射性[J].系统科学与数学,2012,32(3):355-362. |
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| 作者姓名： | 傅迎华 |
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| 作者单位： | 上海理工大学光电学院,上海200093;上海交通大学自动化系,上海200240 |
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| 摘 要： | Hilbert空间中余弦值不为1的非线性算子构成了一类广泛的特殊的非线性算子.研究了这类非线性算子的满射性,并给出了其成立的几个充分条件.
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| 关 键 词： | 非线性算子 满射性 Hilbert空间 余弦 |
SURJECTIVITY FOR A CLASS OF NONLINEAR OPERATORS |
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| FU Yinghua.SURJECTIVITY FOR A CLASS OF NONLINEAR OPERATORS[J].Journal of Systems Science and Mathematical Sciences,2012,32(3):355-362. |
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| Authors: | FU Yinghua |
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| Institution: | FU Yinghua (School of Optical-Electrical and Computer Engineering,University of Shanghai for Science and Technology,Shanghai 200093;Institute of Image Processing & Pattern Recognition,Department of Automation,Shanghai Jiaotong University,Shanghai 200240) |
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| Abstract: | In Hilbert spaces,the nonlinear operators with cosine value unequal to-1 form a considerably broad class of special nonlinear operators.In this paper,we study the surjectivity of these special nonlinear operators and present several sufficient conditions. |
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| Keywords: | Nonlinear operator surjectivity Hilbert space cosine |
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