Hilbert空间内m—增生算子的扰动 |
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引用本文: | 杨从仁.Hilbert空间内m—增生算子的扰动[J].河北大学学报(自然科学版),1985(2). |
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作者姓名: | 杨从仁 |
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作者单位: | 河北大学数学系 |
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摘 要: | <正> 本文提出了一个充分条件(定理1),足以保证一个复Hilbert空间H内一个线性m—增生算子1)与一个增生算子的和为m—增生的,这个条件似乎是同类型的条件中较弱的一种。
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Perturbation of Linear M- Accretive Operators in a Hilbert Space |
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Abstract: | A sufficient condition is given for the sum A+B of a linear m-accretive operator A and a linear accretive operator B in a Hilbert space to be maccretive. This condition seems weaker than those given before. Thus some theorems on the perturbation of linear m - accretive operators are covered by Thearem I . Two applications of Theorem I are also given. |
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