| ON THE APPROXIMATELY SIMILARITY OF OPERATORS |
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| 作者姓名： | Wei Guoqiang |
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| 作者单位： | Department of Mathematics，East China Normal University，Shanghai 200062，China. |
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| 摘 要： | 1.IntroductionInwhatfollows,allofHilbertspacesappearedinthispaperareinfinite-dimensionalseparablecomplexHilbertspace.IfHisaHilbertspace,thenC(n)denotestheC*--algebraofallboundedlinearoperatorsonHandK(H)denotesthesetofcompactoperatorsonn.TwooperatorsSandTarecalledapproximatelyequivalentifthereisasequenc{Un}ofunitaryoperatorssuchthatlIU:SUn--Tll-0(n-- co).SimilarlytwooperatosSandTareapproximatelysimilarifthereisasequence{Vn}ofinvertibleoperatorswithsup(llVn11,11VJ'11)
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| 关 键 词： | C^＊-代数 希尔伯特空间 无限维分离 近似等价 |
| 收稿时间： | 1996/4/15 0:00:00 |
| 修稿时间： | 1996/11/21 0:00:00 |
ON THE APPROXIMATELY SIMILARITY OF OPERATORS |
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| Wei Guoqiang.ON THE APPROXIMATELY SIMILARITY OF OPERATORS[J].Chinese Annals of Mathematics,Series B,1998,19(4):465-472. |
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| Authors: | Wei Guoqiang |
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| Institution: | DepartmentofMathematics,EastChinaNormalUniversity,Shanghai200062,China |
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| Abstract: | The author shows that a rank-preserving *-isorporphism between separable C*-algebras with unity is approximately equivalent to the identity representation. Some applications are made for approximately similarity of n-tuples of operators. |
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| Keywords: | C*-algebra Rank-preserving *-isomorphism Approximately equevalent Approximately similar n-tuples of operators |
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