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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
Full-text PDF (193 kB) Citations (1)
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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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  • https://www.mathnet.ru/eng/faa2956
  • https://doi.org/10.4213/faa2956
  • https://www.mathnet.ru/eng/faa/v43/i2/p75
    • This publication is cited in the following 1 articles:
    1. G. M. Gubreev, A. A. Tarasenko, “Spectral decomposition of model operators in de Branges spaces”, Sb. Math., 201:11 (2010), 1599–1634  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    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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    Abstract page:588
    Full-text PDF :261
    References:86
    First page:34
     
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