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Sbornik: Mathematics, 2011, Volume 202, Issue 1, Pages 9–33
DOI: https://doi.org/10.1070/SM2011v202n01ABEH004136 (Mi sm7713) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Characterization of the sets of divergence for sequences of operators with the localization property

G. A. Karagulyan

Institute of Mathematics, National Academy of Sciences of Armenia
English version PDF (550 kB) Citations (9)
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DOI: https://doi.org/10.1070/SM2011v202n01ABEH004136
Abstract: General theorems characterizing the sets of divergence for sequences of operators with the localization property are established and then used to obtain a complete characterization of the sets of divergence for Fourier series and their Cesàro means in classical orthonormal systems.
Bibliography: 28 titles.
Keywords: localization property of operators, sets of divergence, $G_{\delta\sigma}$-sets.
Received: 16.03.2010 and 14.06.2010
Russian version:
Matematicheskii Sbornik, 2011, Volume 202, Number 1, Pages 11–36
DOI: https://doi.org/10.4213/sm7713
Bibliographic databases:
Document Type: Article
UDC: 517.518.362
MSC: 42A20
Language: English
Original paper language: Russian
Citation: G. A. Karagulyan, “Characterization of the sets of divergence for sequences of operators with the localization property”, Mat. Sb., 202:1 (2011), 11–36; Sb. Math., 202:1 (2011), 9–33
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2011v202n01ABEH004136
  • https://www.mathnet.ru/eng/sm/v202/i1/p11
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:741
    Russian version PDF:232
    English version PDF:19
    References:101
    First page:43
     
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