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Funktsional'nyi Analiz i ego Prilozheniya, 2022, Volume 56, Issue 3, Pages 75–87
DOI: https://doi.org/10.4213/faa3928 (Mi faa3928) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Criteria for the property (UWE) and the a-Weyl theorem

Chenhui Suna, Xiaohong Caob

a School of Mathematics and Statistics, Weinan Normal University
b School of Mathematics and Statistics, Shaanxi Normal University
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DOI: https://doi.org/10.4213/faa3928
Abstract: In this paper, the property (UWE) and the a-Weyl theorem for bounded linear operators are studied in terms of the property of topological uniform descent. Sufficient and necessary conditions for a bounded linear operator defined on a Hilbert space to have the property (UWE) and satisfy the a-Weyl theorem are established. In addition, new criteria for the fulfillment of the property (UWE) and the a-Weyl theorem for an operator function are discussed. As a consequence of the main theorem, results on the stability of the property (UWE) and the a-Weyl theorem are obtained.
Keywords: property (UWE), a-Weyl theorem, topological uniform descent.
Funding agency Grant number
Department of Education of Shaanxi Province 21JK0637
SGH20Q254
Weinan Normal University Talent Project 2021RC16
Supported by the 2021 General Special Scientific Research Project of the Education Department of Shaanxi Provincial Government (No. 21JK0637), by Shaanxi Provincial Education Science “13th Five Year Plan” 2020 Annual Project (No. SGH20Q254), and by 2021 Talent Project of Weinan Normal University(2021RC16).
Received: 07.07.2021
Revised: 07.07.2021
Accepted: 03.04.2022
English version:
Functional Analysis and Its Applications, 2022, Volume 56, Issue 3, Pages 216–224
DOI: https://doi.org/10.1134/S0016266322030054
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: Chenhui Sun, Xiaohong Cao, “Criteria for the property (UWE) and the a-Weyl theorem”, Funktsional. Anal. i Prilozhen., 56:3 (2022), 75–87; Funct. Anal. Appl., 56:3 (2022), 216–224
Citation in format AMSBIB
\Bibitem{SunCao22}
\by Chenhui Sun, Xiaohong~Cao
\paper Criteria for the property (UWE) and the a-Weyl theorem
\jour Funktsional. Anal. i Prilozhen.
\yr 2022
\vol 56
\issue 3
\pages 75--87
\mathnet{http://mi.mathnet.ru/faa3928}
\crossref{https://doi.org/10.4213/faa3928}
\transl
\jour Funct. Anal. Appl.
\yr 2022
\vol 56
\issue 3
\pages 216--224
\crossref{https://doi.org/10.1134/S0016266322030054}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85147161618}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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