| 保谱乘法映射 |
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| 引用本文： | 荆武.保谱乘法映射[J].数学学报,1999,42(1):89-92. |
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| 作者姓名： | 荆武 |
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| 作者单位： | 烟台师范学院数学系,烟台,264025 |
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| 摘 要： | 设X，Y为Banach空间，证明了B（X）到B（Y）的保谱乘法满射φ具有形式φ（T）＝ATA-1，其中A为X到Y上的同构．
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| 关 键 词： | 保谱映射 乘法映射 一秩算子 |
| 修稿时间： | :1996-11-1 |
Spectrum-Preserving Multiplicative Maps |
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| Jing Wu.Spectrum-Preserving Multiplicative Maps[J].Acta Mathematica Sinica,1999,42(1):89-92. |
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| Authors: | Jing Wu |
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| Institution: | Jing Wu(Department of Mathematics, Yantai Teacheds’College, Yantai 264025, P. R. China) |
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| Abstract: | Let X and Y be Banach spaces. We show that a spectrum-preserving surjective multiplicative map from B(X) to B(Y) is of the form (T) = ATA-1 for an isomorphism A of X onto Y. |
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| Keywords: | Spectrum-preserving map Multiplicative map Rank one operator |
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