| 关于Krein空间上J-正常算子可定化性的一个注记 |
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| 引用本文： | 陈庆,华梦霞.关于Krein空间上J-正常算子可定化性的一个注记[J].南阳师范学院学报,2011,10(6):8-11. |
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| 作者姓名： | 陈庆 华梦霞 |
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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 |
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| 基金项目： | 河南省自然科学基金(092300410220,102300410145); 南阳师范学院科研基金(ZX2010015)资助项目 |
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| 摘 要： | 利用可定化J-自伴算子的谱函数,对于Krein空间上J-正常算子N的可定化性与其实部、虚部的可定化性之间的关系做了讨论.指出若N的实部或虚部中有一个为可定化算子（强可定化算子、一致可定化算子）,则N是可定化的（强可定化的、一致可定化的）,且通过例子说明该结论的逆命题并不成立.
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| 关 键 词： | Krein空间 J-正常算子 可定化性 |
A note on definitizability of J-normal operators in Krein spaces |
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| CHEN Qing,HUA Meng-xia.A note on definitizability of J-normal operators in Krein spaces[J].Journal of Nanyang Teachers College,2011,10(6):8-11. |
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| Authors: | CHEN Qing HUA Meng-xia |
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| Institution: | CHEN Qing,HUA Meng-xia(School of Mathematics and Statistics,Nanyang Normal University,Nanyang 473061,China) |
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| Abstract: | In this paper,the authors discussed the relationship between definitizability of J-normal operators N in Krein space and definitizability of the real part(imaginary part)of N by the spectral function of definitizable J-selfadjoint operators.It was pointed out that N is definitizable(strongly definitizable,uniformly definitizable) if the real part or imaginary part of N is definitizable(strongly definitizable,uniformly definitizable).Meanwhile,the authors showed that the inverse of this proposition is false ... |
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| Keywords: | Krein space J-normal operators definitizability |
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