SPECTRAL INCLUSIONS OF EXPONENTIALLY BOUNDED C-SEMIGROUPS

被引：1
作者：
Toukmati, Ahmed [1 ]
机构：
[1] Abdelmalek Essaadi Univ Tetouan, Fac Sci & Technol, Al Hociema, Morocco
来源：
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2022年 / 28卷 / 02期
关键词：
C-semigroup; C-0-semigroup; Kato operator; Saphar operator;
D O I：
10.31392/MFAT-npu26_2.2022.09
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In 1989 Ki Sik Ha [6] proved that if A is a generator of an exponentially bounded C-semigroup (S-t)(t >= 0) in a Banach space and T-t = C-1St for all t >= 0, then the spectral mapping theorem, e(t sigma(A)) subset of sigma (T-t) and e(t sigma p(A)) subset of sigma(p)(T-t) subset of e(t sigma p)(A) boolean OR {0} for all t >= 0, holds. In the present paper, we extend the results of [6] to Saphar, essentially Saphar, Kato, and essentially Kato spectrum.
引用
收藏
页码：169 / 175
页数：7
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