Property (R) under Perturbations

被引：29

作者：

Aiena, Pietro ^{[1
]}

Aponte, Elvis ^{[2
]}

Guillen, Jesus R. ^{[3
]}

Pena, Pedro ^{[4
]}

机构：

[1] Univ Palermo, Fac Ingn, Dipartimento Metodi & Modelli Matemat, I-90128 Palermo, Italy

[2] UCLA, Fac Ciencias, Dept Matemat, Barquisimeto, Venezuela

[3] ULA, Fac Ciencias, Dept Matemat, Merida, Venezuela

[4] ULA, NURR, Dept Fis & Matemat, Trujillo, Venezuela

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2013年 / 10卷 / 01期

关键词：

Property (R); Weyl type theorems; WEYLS THEOREM; OPERATORS;

D O I：

10.1007/s00009-012-0174-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Property (R) holds for a bounded linear operator , defined on a complex infinite dimensional Banach space X, if the isolated points of the spectrum of T which are eigenvalues of finite multiplicity are exactly those points lambda of the approximate point spectrum for which lambda I - T is upper semi-Browder. In this paper we consider the permanence of this property under quasi nilpotent, Riesz, or algebraic perturbations commuting with T.

引用

页码：367 / 382

页数：16

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