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Matematicheskie Zametki, 2012, Volume 91, Issue 2, Pages 285–296
DOI: https://doi.org/10.4213/mzm7697 (Mi mzm7697) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Bessel Systems in a Banach Space

P. A. Terekhin

Saratov State University named after N. G. Chernyshevsky
Full-text PDF (523 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm7697
Abstract: We consider Bessel systems in a Banach space and study their operator and projective characteristics. Using an operator construction for the continuation of the system, we prove an analog of Schur's theorem on continuable systems.
Keywords: Bessel system, Banach space, continuation of a Bessel system, linear operator, model space, Schur's theorem.
Received: 22.05.2009
English version:
Mathematical Notes, 2012, Volume 91, Issue 2, Pages 272–282
DOI: https://doi.org/10.1134/S0001434612010270
Bibliographic databases:
Document Type: Article
UDC: 517.51+517.98
Language: Russian
Citation: P. A. Terekhin, “On Bessel Systems in a Banach Space”, Mat. Zametki, 91:2 (2012), 285–296; Math. Notes, 91:2 (2012), 272–282
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm7697
  • https://doi.org/10.4213/mzm7697
  • https://www.mathnet.ru/eng/mzm/v91/i2/p285
    • This publication is cited in the following 3 articles:
    1. Ismailov M.I., “On Uncountable K-Bessel and K-Hilbert Systems in Nonseparable Banach Spaces”, Proc. Inst. Math. Mech., 45:2 (2019), 192–204  mathscinet  isi
    2. Speransky K.S., Terekhin P.A., “A Representing System Generated By the Szego Kernel For the Hardy Space”, Indag. Math.-New Ser., 29:5 (2018), 1318–1325  crossref  mathscinet  zmath  isi  scopus
    3. P. A. Terekhin, “Affinnye sistemy funktsii tipa Uolsha. Ortogonalizatsiya i popolnenie”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 14:4(1) (2014), 395–400  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Abstract page:596
    Full-text PDF :250
    References:78
    First page:28
     
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