C0-semigroups and Local Spectral Theory

被引：0
|
作者：
Boua, H. [1 ]
Karmouni, M. [2 ]
Tajmouati, A. [3 ]
机构：
[1] Mohammed First Univ, Pluridisciplinary Fac Nador, Lab Anal Geometry & Applicat, Nador, Morocco
[2] Cadi Ayyad Univ, Multidisciplinary Fac, Safi, Morocco
[3] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar Al Mahraz, Lab Math Anal & Applicat, Fes, Morocco
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2022年 / 40卷
关键词：
C-0-semigroup; Local spectrum; SVEP; stability;
D O I：
10.5269/bspm.52765
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (T(t))(t >= 0) be a Co-semigroup of operators on a Banach space X. In this paper, we show that if there exists t(0) > 0 such that T(t(0)) has the SVEP then A has the SVEP and if sigma(p) (A) has empty interior, then T(t) has the SVEP for all t >= 0. Also, some local spectral properties for C-0 semigroups and theirs generators and some stabilities results are also established.
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页数：5
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