A NOTE ON DISCRETE SEMIGROUPS OF BOUNDED LINEAR OPERATORS ON NON-ARCHIMEDEAN BANACH SPACES

被引:0
|
作者
Blali, Aziz [1 ]
El Amrani, Abdelkhalek [2 ]
Ettayb, Jawad [2 ]
机构
[1] Sidi Mohamed Ben Abdellah Univ, Dept Math & Comp Sci, ENS BP 5206 Bensouda, Fes, Morocco
[2] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math & Comp Sci, Fes, Morocco
来源
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2022年 / 37卷 / 02期
关键词
Non-archimedean Banach spaces; spectral operator; discrete semigroups;
D O I
10.4134/CKMS.c210039
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let A is an element of B(X) be a spectral operator on a non-archimedean Banach space over an algebraically closed field. In this note, we give a necessary and sufficient condition on the resolvent of A so that the discrete semigroup consisting of powers of A is uniformly-bounded.
引用
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页码:409 / 414
页数:6
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