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Matematicheskie Zametki, 2013, Volume 93, Issue 5, Pages 728–735
DOI: https://doi.org/10.4213/mzm9314 (Mi mzm9314) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Geometric Description of the Preduals of Atomic Commutative von Neumann Algebras

M. M. Ubragimov, K. K. Kudaybergenov, S. Zh. Tleumuratov, Zh. Kh. Sejpullaev

Kara-Kalpak State University
Full-text PDF (427 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm9314
Abstract: Strongly facially symmetric spaces isometrically isomorphic to the predual space of an atomic commutative von Neumann algebra are described.
Keywords: predual of an atomic commutative von Neumann algebra, facially symmetric space, strongly facially symmetric space, geometric tripotent.
Received: 19.11.2011
Revised: 29.03.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 5, Pages 715–721
DOI: https://doi.org/10.1134/S0001434613050076
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: M. M. Ubragimov, K. K. Kudaybergenov, S. Zh. Tleumuratov, Zh. Kh. Sejpullaev, “Geometric Description of the Preduals of Atomic Commutative von Neumann Algebras”, Mat. Zametki, 93:5 (2013), 728–735; Math. Notes, 93:5 (2013), 715–721
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  • https://www.mathnet.ru/eng/mzm/v93/i5/p728
    • This publication is cited in the following 4 articles:
    1. K. K. Kudaybergenov, J. Kh. Seypullaev, “Characterization of JBW-Algebras with Strongly Facially Symmetric Predual Space”, Math. Notes, 107:4 (2020), 600–608  mathnet  crossref  crossref  isi  elib
    2. K. Kudaybergenov, J. Seypullaev, “Description of Facially Symmetric Spaces with Unitary Tripotents”, Sib. Adv. Math., 30:2 (2020), 117  crossref
    3. M. M. Ibragimov, K. K. Kudaibergenov, Zh. Kh. Seipullaev, “Facially symmetric spaces and predual ones of Hermitian part of von Neumann algebras”, Russian Math. (Iz. VUZ), 62:5 (2018), 27–33  mathnet  crossref  isi
    4. M. M. Ibragimov, K. K. Kudaibergenov, “Geometric description of $L_1$-spaces”, Russian Math. (Iz. VUZ), 57:9 (2013), 16–21  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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