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Mathematics of the USSR-Izvestiya, 1980, Volume 15, Issue 2, Pages 387–399
DOI: https://doi.org/10.1070/IM1980v015n02ABEH001249 (Mi im1751) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Biprojective Banach algebras

Yu. V. Selivanov
English version PDF (768 kB) Citations (18) Russian version article
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DOI: https://doi.org/10.1070/IM1980v015n02ABEH001249
Abstract: This paper studies the structure of biprojective semisimple Banach algebras having the approximation property. It is shown that every such algebra can be represented as the completion of a direct sum of topologically simple biprojective Banach algebras. The component parts of this sum are described as algebras of nuclear operators generated by a dual pair. Furthermore, the closed ideals of such algebras are studied.
Bibliography: 16 titles.
Received: 14.11.1977
Bibliographic databases:
UDC: 513.88
MSC: Primary 46M10; Secondary 18G05, 46H25
Language: English
Original paper language: Russian
Citation: Yu. V. Selivanov, “Biprojective Banach algebras”, Math. USSR-Izv., 15:2 (1980), 387–399
Citation in format AMSBIB
\Bibitem{Sel79}
\by Yu.~V.~Selivanov
\paper Biprojective Banach algebras
\jour Math. USSR-Izv.
\yr 1980
\vol 15
\issue 2
\pages 387--399
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\crossref{https://doi.org/10.1070/IM1980v015n02ABEH001249}
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\zmath{https://zbmath.org/?q=an:0447.46042|0434.46050}
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  • https://www.mathnet.ru/eng/im/v43/i5/p1159
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:498
    Russian version PDF:193
    English version PDF:21
    References:52
    First page:1
     
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