RANK-PRESERVING LINEAR MAPS ON B(X)

被引：0

作者：

侯晋川

机构：

[1] Linfen

[2] Shanxi Teachers University

[3] Department of Mathematics

来源：

Science China Mathematics | 1989年 / 08期

关键词：

Banach space; linear operator; elementary operator; rank of operator spectrum;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Denote by B(X) the Banach algebra of all bounded linear operators on a complex Banach space X. In this paper, the representation of weakly continuous linear maps on B(X) which maps rank-1 operators to operators of rank at most 1 is given, and sequentially, some representation theorems for rank-preserving linear maps, spectrum-preserving linear maps and positivity-preserving linear maps on B(X) are obtained.

引用

页码：929 / 940

页数：12

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