Spectrum-preserving multiplicative maps

被引：0

作者：

Jing, W ^{[1
]}

机构：

[1] Yantai Teachers Coll, Dept Math, Yantai 264025, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 1998年 / 14卷

关键词：

spectrum-preserving map; multiplicative map; rank one operator;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X and Y be Banach spaces. We show that a spectrum-preserving surjective multiplicative map phi from B(X) to B(Y) is of the form phi(T) = ATA(-1) for an isomorphism A of X onto Y.

引用

页码：719 / 722

页数：4

共 17 条

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[10] Lipschitz Algebras and Peripherally-multiplicative Maps
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