| Complete Positivity of Elementary Operators on C^＊—algebras |
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| 引用本文： | 李建奎.Complete Positivity of Elementary Operators on C^＊—algebras[J].数学季刊,1997,12(4):51-54. |
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| 作者姓名： | 李建奎 |
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| 作者单位： | Department of Mathematics，Hunan Normal University，Hunan，Changsha，410081 |
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| 摘 要： | 1.IntroductionandPreliminariesInthispaper,AdenotesaC'-algebra.AnelementaryoperatoronAisamappingoftheformE:x-Zaixbi,whereaiandbiarefixedelementsofA.AnidempotenteinAiscalledi-lminimal,ifeAe=Ce.ThesocleofA,soc(A)isdefinedtobethetwo-sidedidealgeneratedbyallminimalidempotentsinAoroiftherearenone.AissaidtObeprimeifxAy=Oimpliesx=oory=oforallx,yinA.Aiscalledprimitiveifithasafaithfulirreduciblerepresenta-tion.LetAandBbeC'-algebras,alinearmap@:A-Biscalledpositiveifdi(a)ispositiveforallPositiv…
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| 关 键 词： | C^＊－代数 初等算子 完全正性 |
Complete Positivity of Elementary Operators on C~*-algebras |
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| Li Jiankui.Complete Positivity of Elementary Operators on C~*-algebras[J].Chinese Quarterly Journal of Mathematics,1997,12(4):51-54. |
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| Authors: | Li Jiankui |
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| Abstract: | |
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| Keywords: | elementary operator complete positivity |
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