| SPECTRUM-PRESERVING ELEMENTARY OPERATORS ON B（X） |
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| 作者姓名： | Hou Jinchuan |
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| 作者单位： | Department of Mathematics，Shanxi Teachers University，Linfen 041004，China. |
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| 摘 要： | 1.IntroductionLetXbeaninfinitedimensionalcomplexBanachspaceandB(X)theBanachalgebraofallboundedlinearoperatorsonX.ForTEB(X),a(T),asusual,willdenotethespectrumofT.Let4bealinearmapfromB(X)intoitself.4isspectrum-preservingifa(di(T))=a(T)forallTEB(X);4isspectrum-compressingifa(4(T))ga(T)forallTEB(X).Itisclearthatif4isunital(i.e.,ac(I)=I),thenacisspectrum-preserving(spectrum-compressing)ifandonlyif4preservesinvertibilityinbothdirections(preservesinvertibility),i.e.,4(T)isinvertibleifando…
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| 关 键 词： | 基本算子 光谱储存 线性映射 正映射 复巴拿赫空间 |
| 收稿时间： | 1/8/1996 12:00:00 AM |
SPECTRUM-PRESERVING ELEMENTARY OPERATORS ON B(X) |
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| Hou Jinchuan.SPECTRUM-PRESERVING ELEMENTARY OPERATORS ON B(X)[J].Chinese Annals of Mathematics,Series B,1998,19(4):511-516. |
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| Authors: | Hou Jinchuan |
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| Institution: | DepartmentofMathematics,ShanxiTeachersUniversity,Linfen041004,China |
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| Abstract: | Characterizations for elementary operators of length 2 to be invertibility-preserving,spectrum-preserving or spectrum-compressing are obtained. |
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| Keywords: | Elementary operators Spectrum-preserving linear maps Positive maps |
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