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,2013,34(5):521~530
Krein空间上J-正常算子的可定化性
Definitizability of J-normal Operators in Krein Space
  
DOI:
中文关键词:  Krein空间, J-正常算子, 可定化性
英文关键词:Krein space, J-normal operators, Definitizability
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)
Author NameAffiliationE-mail
CHEN Qing School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, Henan, China. aynychq@163.com 
HUA Mengxia School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, Henan, China. huamxny@163.com 
FU Benyin Department of Applied Mathematics, Shanghai Finance University, Shanghai 201209, China. fubenyin@163.com 
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中文摘要:
      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.
英文摘要:
      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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