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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 5, Pages 33–40 (Mi ivm9356)  
This article is cited in 3 scientific papers (total in 3 papers)

Facially symmetric spaces and predual ones of Hermitian part of von Neumann algebras

M. M. Ibragimova, K. K. Kudaibergenova, Zh. Kh. Seipullaevb

a Karakalpak State University named after Berdakh, 1 Ac. C. Abdirov str., Nukus, 230113 Republic of Uzbekistan
b National University of Uzbekistan, 29 Durmon Yuli str., Tashkent, 100125 Republic of Uzbekistan
Full-text PDF (196 kB) Citations (3)
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Abstract: We prove that predual of real part of von Newmann algebra is strongly facially symmetric space if and only if is it a direct sum of Abelian algebra and algebra of $I_2$ type. At that, neutral strongly facially symmetric space is predual to Abelian algebra, only.
Keywords: face, projector, von Neumann algebra, side-symmetric space.
Received: 20.02.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 5, Pages 27–33
DOI: https://doi.org/10.3103/S1066369X18050055
Bibliographic databases:
Document Type: Article
UDC: 598.17
Language: Russian
Citation: M. M. Ibragimov, K. K. Kudaibergenov, Zh. Kh. Seipullaev, “Facially symmetric spaces and predual ones of Hermitian part of von Neumann algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 5, 33–40; Russian Math. (Iz. VUZ), 62:5 (2018), 27–33
Citation in format AMSBIB
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\pages 33--40
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:23
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