Finite rank perturbations of contractions

被引：14

作者：

Benhida, C

Timotin, D

机构：

[1] Univ Sci & Technol Lille, CNRS, URA 751, UFR Math, F-59655 Villeneuve Dascq, France

[2] Romanian Acad, Inst Math, Bucharest 70700, Romania

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2000年 / 36卷 / 03期

关键词：

D O I：

10.1007/BF01213924

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study finite rank perturbations of contractions of class C-0 with finite defect indices. The completely nonunitary part of such a perturbation is also of class C-0, while the unitary part is singular. When the defect indices of the original contraction are not equal, it can be shown that almost always (with respect to a suitable measure) the perturbation has no unitary part.

引用

页码：253 / 268

页数：16

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