Pseudospectra in a Non-Archimedean Banach Space and Essential Pseudospectra in Eω

被引：6

作者：

Ammar, Aymen ^{[1
]}

Bouchekoua, Ameni ^{[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：

FILOMAT | 2019年 / 33卷 / 12期

关键词：

Non-Archimedean space; pseudospectra; FINITE RANK PERTURBATIONS; DIAGONAL OPERATORS;

D O I：

10.2298/FIL1912961A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we introduce and study the pseudospectra and the essential pseudospectra of linear operators in a non-Archimedean Banach space and in the non-Archimedean Hilbert space E-omega, respectively. In particular, we characterize these pseudospectra. Furthermore, inspired by T. Diagana and F. Ramaroson [12], we establish a relationship between the essential pseudospectrum of a closed linear operator and the essential pseudospectrum of this closed linear operator perturbed by completely continuous operator in the non-Archimedean Hilbert space E-omega.

引用

页码：3961 / 3975

页数：15

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