| 一秩扰动下算子的定化性 |
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| 引用本文： | 陈庆.一秩扰动下算子的定化性[J].数学年刊A辑(中文版),2005(2). |
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| 作者姓名： | 陈庆 |
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| 作者单位： | 南阳师范学院数学系 河南 |
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| 摘 要： | 本文对于Krein空间上的强可定化算子(一致可定化箅子)在使扰动前后预解式之差为一秩算子的扰动下,强可定化性,一致可定化性是否成立的问题进行了讨论.得到了使扰动之后的算子保持强可定化性(一致可定化性)的条件.
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| 关 键 词： | 强可定化算子 一致可定化算子 预解式 |
THE DEFINITIZABLITY OF OPERATORS UNDER PERTURBATIONS OF RANK ONE |
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| CHEN Qing.THE DEFINITIZABLITY OF OPERATORS UNDER PERTURBATIONS OF RANK ONE[J].Chinese Annals of Mathematics,2005(2). |
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| Authors: | CHEN Qing |
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| Institution: | CHEN Qing Department of Mathathematics,Nanyang Teachers College,Nanyang 473061,Henan,China. |
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| Abstract: | In this paper, the perturbation of a strong definitizable (uniformdefinitizable) operator A in a Krein space is studied, where the difference of the resolvents of A and of the perturbed operator B is of rank one. The problem when the perturbed operator B is strong definitizable (uniform definitizable) is discussed. The author gets the conditions which make the perturbed operator B preserve strong definitizablity (uniform definitizablity). |
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| Keywords: | Stang definitizable operator Uniform definitizable operator Resolvent |
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