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

页码：409 / 414

页数：6

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