Common spectral properties and $$\nu $$ -convergence

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-09 DOI:10.1007/s43037-024-00350-0

Soufiane Hadji, Hassane Zguitti

引用次数: 0

Abstract

In this paper we show that if $\{T_n\}$ is a sequence of bounded linear operators on a complex Banach space X which $\nu $-converges to two different bounded linear operators T and U, then T and U have the same parts of the spectrum. In particular, we generalize the results of Sánchez-Perales and Djordjević (J Math Anal Appl 433:405–415, 2016) and of Ammar (Indag Math 28:424–435, 2017). We also investigate the spectral $\nu $-continuity for the surjective spectrum.

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共谱特性和 $$\nu $$ 收敛性

在本文中，我们证明了如果 $\{T_n\}$ 是复巴纳赫空间 X 上的有界线性算子序列，它 $\nu $-转换为两个不同的有界线性算子 T 和 U，那么 T 和 U 有相同的谱部分。特别是，我们概括了 Sánchez-Perales 和 Djordjević (J Math Anal Appl 433:405-415, 2016) 以及 Ammar (Indag Math 28:424-435, 2017) 的结果。我们还研究了弹射谱的谱（\nu \）-连续性。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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