A note on the commutator of two operators on a locally convex space

被引：0

作者：

Kramar, Edvard ^{[1
]}

机构：

[1] Univ Ljubljana, Fac Math & Phys, Jadranska 19, Ljubljana 1000, Slovenia

来源：

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2016年 / 57卷 / 02期

关键词：

locally convex space; commutator; nilpotent operator; compact operator; Riesz operator;

D O I：

10.14712/1213-7243.2015.155

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Denote by C the commutator AB - BA of two bounded operators A and B acting on a locally convex topological vector space. If AC - CA = 0, we show that C is a quasinilpotent operator and we prove that if AC - CA is a compact operator, then C is a Riesz operator.

引用

页码：163 / 168

页数：6

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