On the extended eigenvalues of some Volterra operators

被引：11
|
作者：
Petrovic, Srdjan [1 ]
机构：
[1] Western Michigan Univ, Dept Math, Kalamazoo, MI 49008 USA
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2007年 / 57卷 / 04期
关键词：
Volterra operator; eigenvalie; quasinilpotent operator;
D O I：
10.1007/s00020-006-1477-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that a large class of compact quasinilpotent operators has extended eigenvalues. As a consequence, if V is such an operator, then the associated spectral algebra B-V contains its commutant{V}' as a proper subalgebra.
引用
收藏
页码：593 / 598
页数：6
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