Extended eigenvalues and the volterra operator

被引：53

作者：

Biswas, A

Lambert, A

Petrovic, S

机构：

[1] Univ N Carolina, Dept Math, Charlotte, NC 28223 USA

[2] Western Michigan Univ, Dept Math, Kalamazoo, MI 49008 USA

来源：

GLASGOW MATHEMATICAL JOURNAL | 2002年 / 44卷

关键词：

D O I：

10.1017/S001708950203015X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the integral Volterra operator on the space L-2(0,1). We say that a complex number lambda is an extended eigenvalue of V if there exists a nonzero operator X satisfying the equation XV = lambdaVX. We show that the set of extended eigenvalues of V is precisely the interval (0,infinity) and the corresponding eigenvectors may be chosen to be integral operators as well.

引用

页码：521 / 534

页数：14

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