| Krein空间上J-正常算子的可定化性 |
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| 引用本文： | 陈庆,华梦霞,付本银.Krein空间上J-正常算子的可定化性[J].数学年刊A辑(中文版),2013,34(5):521-530. |
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| 作者姓名： | 陈庆 华梦霞 付本银 |
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| 作者单位： | 南阳师范学院数学与统计学院, 河南 南阳 473061.;南阳师范学院数学与统计学院, 河南 南阳 473061.;海金融学院应用数学系, 上海 201209. |
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| 基金项目： | 国家自然科学基金 (No.11101280),河南省自然科学基金(No.132300410372),2012年度河南省高校青年骨干教师资助计划和南阳师范学院科研基金(No.ZX2010015) |
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| 摘 要： | 对于Krein空间上J-正常算子
的各种可定化性进行了研究. 利用可定化J-正常算子的谱函数, 给出了临界线的概念,
得到了可定化的J-正常算子成为强可定化算子和一致可定化算子的充要条件.
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| 关 键 词： | Krein空间 J-正常算子 可定化性 |
Definitizability of J-normal Operators in Krein Space |
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| CHEN Qing,HUA Mengxia and FU Benyin.Definitizability of J-normal Operators in Krein Space[J].Chinese Annals of Mathematics,2013,34(5):521-530. |
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| Authors: | CHEN Qing HUA Mengxia and FU Benyin |
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| Institution: | School of Mathematics and Statistics, Nanyang Normal University,
Nanyang 473061, Henan, China.;School of Mathematics and Statistics, Nanyang Normal University,
Nanyang 473061, Henan, China.;Department of Applied Mathematics, Shanghai Finance University,
Shanghai 201209, China. |
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| Abstract: | In this paper, the definitizability of J-normal operators in Krein space is dis-
cussed. Making use of the spectral function of definitizable J-normal operators, the authors
give the definition of critical line and get the necessary and sufficient conditions to guar-
antee that the definitizable J-normal operators become strongly definitizable operators and
uniformly definitizable operators. |
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| Keywords: | Krein space J-normal operators Definitizability |
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