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Funktsional'nyi Analiz i ego Prilozheniya, 2009, Volume 43, Issue 2, Pages 75–79
DOI: https://doi.org/10.4213/faa2956 (Mi faa2956) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

On a Class of Completely Continuous Operators in Hilbert Spaces

G. M. Gubreev, G. V. Lukashenko

Poltava National Technical University named after Yuri Kondratyuk
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DOI: https://doi.org/10.4213/faa2956
Abstract: We introduce a class $G$ of completely continuous operators and prove theorems on the spectral structure of these operators. In particular, operators of this class are similar to model operators in de Branges spaces.
Keywords: de Branges space, similarity of operators, unconditional basis.
Received: 28.03.2008
English version:
Functional Analysis and Its Applications, 2009, Volume 43, Issue 2, Pages 143–146
DOI: https://doi.org/10.1007/s10688-009-0019-9
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: G. M. Gubreev, G. V. Lukashenko, “On a Class of Completely Continuous Operators in Hilbert Spaces”, Funktsional. Anal. i Prilozhen., 43:2 (2009), 75–79; Funct. Anal. Appl., 43:2 (2009), 143–146
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    References:71
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