A Note on the Mapping Theorem for Essential Pseudospectra in a Banach Space

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2024-09-06 DOI:10.1007/s11253-024-02326-7

Aymen Ammar, S. Veeramani

引用次数: 0

Abstract

The main aim of the paper is to determine some basic properties of the essential pseudospectrum of a bounded linear operator A defined in a Banach space X. We also prove two different versions of the essential pseudospectral mapping theorem.

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关于巴拿赫空间本质伪谱映射定理的说明

本文的主要目的是确定定义在巴拿赫空间 X 中的有界线性算子 A 的基本伪谱的一些基本性质。

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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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.