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Funktsional'nyi Analiz i ego Prilozheniya, 2004, Volume 38, Issue 4, Pages 79–81
DOI: https://doi.org/10.4213/faa128 (Mi faa128) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Real $AW^*$-Algebras of Type I

Sh. A. Ayupov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
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DOI: https://doi.org/10.4213/faa128
Abstract: Let $R$ be a real $AW^*$-algebra, and suppose that its complexification $M=R+iR$ is also a (complex) $AW^*$-algebra. We prove that $R$ is of type $\mathrm{I}$ if and only if so is $M$.
Keywords: real $C^*$-algebra, real $W^*$-algebra, real $AW^*$-algebra, complexification, type $\mathrm{I}$ algebra.
Received: 18.04.2003
English version:
Functional Analysis and Its Applications, 2004, Volume 38, Issue 4, Pages 302–304
DOI: https://doi.org/10.1007/s10688-005-0008-6
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: Sh. A. Ayupov, “Real $AW^*$-Algebras of Type I”, Funktsional. Anal. i Prilozhen., 38:4 (2004), 79–81; Funct. Anal. Appl., 38:4 (2004), 302–304
Citation in format AMSBIB
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\paper Real $AW^*$-Algebras of Type I
\jour Funktsional. Anal. i Prilozhen.
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\vol 38
\issue 4
\pages 79--81
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\jour Funct. Anal. Appl.
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  • https://www.mathnet.ru/eng/faa128
  • https://doi.org/10.4213/faa128
  • https://www.mathnet.ru/eng/faa/v38/i4/p79
    • This publication is cited in the following 2 articles:
    1. Abdugafur Rakhimov, Nilufarkhon Rakhmonova, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 3244, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 2024, 020036  crossref
    2. Albeverio S., Ayupov S.A., Dadakhodjayev R.A., “On partially ordered real involutory algebras”, Acta Appl. Math., 94:3 (2006), 195–214  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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