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
收藏
页码：929 / 940
页数：12
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