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.

引用

页码：638 / 657

页数：20

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