On generalized a-Browder's theorem

被引：20

作者：

Aiena, Pietro

Miller, T. Len

机构：

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

[2] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

STUDIA MATHEMATICA | 2007年 / 180卷 / 03期

关键词：

SVEP; Fredholm theory; generalized Weyl's theorem; generalized Browder's theorem;

D O I：

10.4064/sm180-3-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the bounded linear operators T satisfying generalized alpha-Browder's theorem, or generalized alpha-Weyl's theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part H-0(lambda I-T) as lambda belongs to certain sets of C. In the last part we give a general framework in which generalized alpha-Weyl's theorem follows for several classes of operators.

引用

页码：285 / 300

页数：16

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