陈庆,华梦霞.П2空间上交换J-von Neumann代数的二次换位[J].数学年刊A辑,2010,31(3):347~354
П2空间上交换J-von Neumann代数的二次换位
The Double Commutant for Commutative J-von Neumann Algebras on П Spaces
  
DOI:
中文关键词:  Pontryagin空间  J-von Neumann代数  二次换位
英文关键词:
基金项目:国家自然科学基金,南阳师范学院科研基金(No.ZX2010015)资助的项目
Author NameAffiliationE-mail
CHEN Qing School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, Henan, China
School of Mathematical Sciences, Fudan University, Shanghai 200433, China. 
aynychq@163.com 
HUA Mengxia School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, Henan, China. huamx1977@163.com 
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中文摘要:
      讨论了П2空间上交换J-von Neumann代数(A)的二次换位(A)",证明了若存在(A)中的J-自伴算子A,使得A具有复值谱点,则(A)=(A)".并且举例说明该结论不能推广至Пk(k>2)空间.
英文摘要:
      
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