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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 10, Pages 94–98 (Mi ivm8106)  
This article is cited in 6 scientific papers (total in 6 papers)

Brief communications

The Haagerup problem on subadditive weights on $W^*$-algebras

A. M. Bikchentaev

Research Institute of Mathematics and Mechanics, Kazan (Volga region) Federal University, Kazan, Russia
Full-text PDF (187 kB) Citations (6)
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Abstract: In year 1975 U. Haagerup posed the following question: Whether every normal subadditive weight on a $W^*$-algebra is sigma-weakly lower semicontinuous? Here we positively answer this question in a particular case of abelian $W^*$-algebras and present a general form of normal subadditive weights on these algebras.
Keywords: $C^*$-algebra, $W^*$-algebra, subadditive weight, measurable function.
Presented by the member of Editorial Board: D. Kh. Mushtari
Received: 23.03.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 10, Pages 82–85
DOI: https://doi.org/10.3103/S1066369X11100112
Bibliographic databases:
Document Type: Article
UDC: 517.983+517.986
Language: Russian
Citation: A. M. Bikchentaev, “The Haagerup problem on subadditive weights on $W^*$-algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 10, 94–98; Russian Math. (Iz. VUZ), 55:10 (2011), 82–85
Citation in format AMSBIB
\Bibitem{Bik11}
\by A.~M.~Bikchentaev
\paper The Haagerup problem on subadditive weights on $W^*$-algebras
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 10
\pages 94--98
\mathnet{http://mi.mathnet.ru/ivm8106}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2918421}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 10
\pages 82--85
\crossref{https://doi.org/10.3103/S1066369X11100112}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856267569}
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  • https://www.mathnet.ru/eng/ivm/y2011/i10/p94
    Cycle of papers
    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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