ON ALGEBRAIC AND ANALYTIC CORE II

被引：0

作者：

Tajmouati, Abdelaziz ^{[1
]}

El Bakkali, Abdeslam ^{[2
]}

Karmouni, Mohamed ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Marhaz, Fes, Morocco

[2] Chouaib Dokkali Univ, Fac Sci, El Jadida, Morocco

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2015年 / 34期

关键词：

local spectral theory; algebraic core spectrum; analytic core spectrum; Kato resolvent set; quasi-similar operators;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we continue the study of the algebraic core spectrum and the analytic core spectrum of an operator T on the complex Banach space X: sigma alc(T) = {lambda is an element of C : C(lambda I - T) = {0}} and sigma-(ac)(T) = {lambda is an element of C : K(lambda I - T) = {0}} where C(T) and K(T) are respectively the algebraic core and the analytic core for T. We shall be concerned with the relations between sigma(ac)(.) (sigma(alc)(.)) and different classical parts of spectrum: the point spectrum, the approximate point spectrum, the surjectivity spectrum and the Kato spectrum. Moreover, some applications are given.

引用

页码：171 / 180

页数：10