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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 17 scientific papers (total in 17 papers)

Biprojective Banach algebras

Yu. V. Selivanov
English version PDF (768 kB) Citations (17)
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1979, Volume 43, Issue 5, Pages 1159–1174
Bibliographic databases:
UDC: 513.88
MSC: Primary 46M10; Secondary 18G05, 46H25
Language: English
Original paper language: Russian
Citation: Yu. V. Selivanov, “Biprojective Banach algebras”, Izv. Akad. Nauk SSSR Ser. Mat., 43:5 (1979), 1159–1174; Math. USSR-Izv., 15:2 (1980), 387–399
Citation in format AMSBIB
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\paper Biprojective Banach algebras
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1979
\vol 43
\issue 5
\pages 1159--1174
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\transl
\jour Math. USSR-Izv.
\yr 1980
\vol 15
\issue 2
\pages 387--399
\crossref{https://doi.org/10.1070/IM1980v015n02ABEH001249}
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  • https://doi.org/10.1070/IM1980v015n02ABEH001249
  • https://www.mathnet.ru/eng/im/v43/i5/p1159
    • This publication is cited in the following 17 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:488
    Russian version PDF:185
    English version PDF:18
    References:51
    First page:1
     
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