| C~*标准代数中效应的序列同构 |
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| 引用本文： | 张海燕,侯成军.C~*标准代数中效应的序列同构[J].数学的实践与认识,2011,41(16). |
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| 作者姓名： | 张海燕 侯成军 |
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| 作者单位： | 1. 赤峰学院数学系,内蒙古赤峰,024000
2. 曲阜师范大学数学学院,山东日照,276826 |
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| 摘 要： | 主要借助于C~*标准算子代数中的有限秩算子对一般的效应元进行刻画.证明了C~*标准算子代数A的效应代数E(A)上的每个序列自同构和自同构ψ都具有形式ψ(A)=UAU~*,其中A∈E(A),U为酉算子或反酉算子.
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| 关 键 词： | C*标准算子代数 效应代数 序列自同构 自同构 |
Seqnentiae Isomorphism of Effect on C*-Standard Operator Algebras |
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| ZHANG Hai-yan,HOU Cheng-jun.Seqnentiae Isomorphism of Effect on C*-Standard Operator Algebras[J].Mathematics in Practice and Theory,2011,41(16). |
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| Authors: | ZHANG Hai-yan HOU Cheng-jun |
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| Institution: | ZHANG Hai-yan~1,HOU Cheng-jun~2 (1.Department of Mathematics,Chifeng College,Chifeng 024000,China) (2.Department of Mathematics,Qufu Normal University,Rizhao 276826,China) |
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| Abstract: | In this paper,mainly by means of finite rank operators of C~*-standard operator algebras to describe the general effect elements.It is proved that every sequential automorphism and automorphism on effect algebras E(A) of C~*-standard operator algebras A both have formsφ(A) = UAU~*,where U is unitary operator or anti-unitary operator. |
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| Keywords: | C~*-standard operator algebra effect algebra sequential automorphism automorphism |
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