Distance from idempotents to nilpotents

被引：3
|
作者：
MacDonald, Gordon W. [1 ]
机构：
[1] Univ Prince Edward Isl, Dept Math & Stat, Charlottetown, PE C1A 4P3, Canada
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2007年 / 59卷 / 03期
关键词：
operator; matrix; nilpotent; idempotent; projection;
D O I：
10.4153/CJM-2007-027-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give bounds on the distance from a non-zero idempotent to the set of nilpotents in the set of n x n matrices in terms of the norm of the idempotent. We construct explicit idempotents and nilpotents which achieve these distances, and determine exact distances in some special cases.
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页码：638 / 657
页数：20
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