非阿基米德场的基本光谱

Q3 Mathematics

Matematychni Studii Pub Date : 2022-10-31 DOI:10.30970/ms.58.1.82-93

A. Ammar, F. Boutaf, A. Jeribi

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引用次数: 0

摘要

本文推广了作用在非阿基米德（或p-adic）Banach空间中的线性算子的本质谱理论的一些方面。特别地，我们建立了两个有界线性算子之和的本质谱与其本质谱并集之间关系的充分条件。此外，我们通过研究p-adic上半Fredholm算子和p-adic下半Fredhol姆算子之间的对偶性，给出了必要的前提条件。我们通过给出本质谱的一些性质来结束本文。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Essential spectra in non-Archimedean fields

In the 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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来源期刊

Matematychni Studii Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal is devoted to research in all fields of mathematics.