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Vladikavkazskii Matematicheskii Zhurnal, 2010, Volume 12, Number 2, Pages 24–30 (Mi vmj9)  
This article is cited in 2 scientific papers (total in 2 papers)

On the right inverse operators which are defined by Eidelheit sequences

O. A. Ivanova, S. N. Melikhov

Southern Federal University
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Abstract: In this article we prove criterion and separately sufficient conditions under which the operator which is defined by Eidelheit sequence has or has not continuous linear right inverse. Also we apply the obtained results for solution of the problem of topologically complementability of ideals in algebras of holomorphic functions.
Key words: Eidelheit sequence, right inverse operator, ideals in algebras of holomorphic functions.
Received: 09.07.2009
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: O. A. Ivanova, S. N. Melikhov, “On the right inverse operators which are defined by Eidelheit sequences”, Vladikavkaz. Mat. Zh., 12:2 (2010), 24–30
Citation in format AMSBIB
\Bibitem{IvaMel10}
\by O.~A.~Ivanova, S.~N.~Melikhov
\paper On the right inverse operators which are defined by Eidelheit sequences
\jour Vladikavkaz. Mat. Zh.
\yr 2010
\vol 12
\issue 2
\pages 24--30
\mathnet{http://mi.mathnet.ru/vmj9}
\elib{https://elibrary.ru/item.asp?id=14868811}
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  • https://www.mathnet.ru/eng/vmj/v12/i2/p24
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    This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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