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Π_1空间上J-正常算子的J-酉等价 被引量:1

J-Unitary Equivalence of J-Normal Operators on Π_1 Spaces
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摘要 对于Π_1空间上J-正常算子的J-酉等价问题进行讨论.针对不同情况,给出了Π_1空间上两个J-正常算子J-酉等价的充要条件.这将有助于研究Π_1空间上交换J-von Neumann代数之间的J-酉等价. J-unitary equivalence of J-normal operators onΠ_1 space is discussed.The authors get necessary and sufficient conditions for the J-unitary equivalence of two J-normal operators onΠ_1 space.It will be useful to the discussion about J-unitary equivalence of commutative J-von Neumann algebras onΠ_1 space.
作者 华梦霞 陈庆
出处 《数学年刊(A辑)》 CSCD 北大核心 2011年第6期729-736,共8页 Chinese Annals of Mathematics
基金 国家自然科学基金(No10771161) 河南省自然科学基金(No112300410300 No102300410145 No102300410184) 南阳师范学院科研基金(NoZX2010015)资助的项目
关键词 Pontryagin空间 J-正规算子 酉等价 Pontryagin space J-normal operators Unitary equivalence
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参考文献13

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共引文献5

同被引文献17

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