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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 4, Pages 930–943 (Mi smj2136)  
This article is cited in 2 scientific papers (total in 2 papers)

Dual characterization of absolutely representing systems in inductive limits of Banach spaces

V. B. Sherstyukov

National Research Nuclear University "MEPhI", Moscow, Russia
Full-text PDF (350 kB) Citations (2)
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Abstract: We establish a dual criterion for absolutely representing systems in the spaces of a sufficiently broad class of inductive limits of sequences of Banach spaces. The result is stated without any additional restrictions on the system. We consider applications to the systems of partial fractions in the spaces of locally analytic functions.
Keywords: inductive limit, representing system, partial fraction.
Received: 13.05.2009
Revised: 23.09.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 4, Pages 745–754
DOI: https://doi.org/10.1007/s11202-010-0075-7
Bibliographic databases:
Document Type: Article
UDC: 517.982.274+517.538.52
Language: Russian
Citation: V. B. Sherstyukov, “Dual characterization of absolutely representing systems in inductive limits of Banach spaces”, Sibirsk. Mat. Zh., 51:4 (2010), 930–943; Siberian Math. J., 51:4 (2010), 745–754
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:70
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