共谱特性和 $$\nu $$ 收敛性

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

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引用次数: 0

摘要

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。

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

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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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

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.