Some results of essential spectra of sum of two bounded linear operators in non-Archimedean Banach space

被引：1
|
作者：
Ammar, Aymen [1 ]
Boutaf, Fatima Zohra [1 ]
Jeribi, Aref [1 ]
机构：
[1] Univ Sfax, Fac Sci Sfax, Dept Math, Soukra Rd Km 3-5, BP 1171, Sfax 3000, Tunisia
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2023年 / 29卷 / 01期
关键词：
Non-Archimedean (or p-adic) Banach spaces; P-adic Fredholm operator; Essential spectra of the sum of two bounded linear operators; PERTURBATIONS; INDEX;
D O I：
10.1007/s40590-022-00485-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we extend some aspects of the essential spectra theory of linear operators acting in non-Archimedean (or p-adic) Banach spaces. In particular, we establish sufficient conditions for the relations between the essential spectra of the sum of two bounded linear operators and the union of their essential spectra. Moreover, we give essential prerequisites by studying the duality between p-adic upper and p-adic lower semi-Fredholm operators. We close this paper by giving some properties of the essential spectra.
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页数：19
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