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Sbornik: Mathematics, 2010, Volume 201, Issue 11, Pages 1599–1634
DOI: https://doi.org/10.1070/SM2010v201n11ABEH004124 (Mi sm7603) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Spectral decomposition of model operators in de Branges spaces

G. M. Gubreeva, A. A. Tarasenkob

a Poltava National Technical University named after Yuri Kondratyuk
b Universidad Autónoma del Estado de Hidalgo
English version PDF (689 kB) Citations (10)
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DOI: https://doi.org/10.1070/SM2010v201n11ABEH004124
Abstract: The paper is devoted to studying a class of completely continuous nonselfadjoint operators in de Branges spaces of entire functions. Among other results, a class of unconditional bases of de Branges spaces consisting of values of their reproducing kernels is constructed. The operators that are studied are model operators in the class of completely continuous non-dissipative operators with two-dimensional imaginary parts.
Bibliography: 22 titles.
Keywords: de Branges spaces, nonselfadjoint operators, the Muckenhoupt condition, unconditional bases consisting of values of reproducing kernels.
Received: 16.07.2009 and 24.06.2010
Russian version:
Matematicheskii Sbornik, 2010, Volume 201, Number 11, Pages 41–76
DOI: https://doi.org/10.4213/sm7603
Bibliographic databases:
Document Type: Article
UDC: 517.583+517.518
MSC: Primary 47B32; Secondary 30D15, 46E22, 47A10, 47A70
Language: English
Original paper language: Russian
Citation: G. M. Gubreev, A. A. Tarasenko, “Spectral decomposition of model operators in de Branges spaces”, Mat. Sb., 201:11 (2010), 41–76; Sb. Math., 201:11 (2010), 1599–1634
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:72
    First page:30
     
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