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Funktsional'nyi Analiz i ego Prilozheniya, 2016, Volume 50, Issue 2, Pages 77–81
DOI: https://doi.org/10.4213/faa3234 (Mi faa3234) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Factorization Properties of Subdiagonal Algebras

T. N. Bekjan, K. N. Ospanov

L. N. Gumilev Eurasian National University
Full-text PDF (172 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa3234
Abstract: Let $\mathcal{M}$ be a von Neumann algebra equipped with a normal finite faithful normalized trace $\tau$, and let $\mathcal{A}$ be a tracial subalgebra of $\mathcal{M}$. Let $E$ be a symmetric quasi-Banach space on $[0,1]$. We show that $\mathcal{A}$ has an $L_E(\mathcal{M})$-factorization if and only if $\mathcal{A}$ is a subdiagonal algebra.
Keywords: von Neumann algebra, tracial subalgebra, subdiagonal algebra, noncommutative symmetric space.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 3606/ГФ4
This work is partially supported by project 3606/GF4 of the Science Committee of Ministry of Education and Science of Republic of Kazakhstan.
Received: 20.05.2015
English version:
Functional Analysis and Its Applications, 2016, Volume 50, Issue 2, Pages 146–149
DOI: https://doi.org/10.1007/s10688-016-0139-y
Bibliographic databases:
Document Type: Article
UDC: 517.986.3
Language: Russian
Citation: T. N. Bekjan, K. N. Ospanov, “Factorization Properties of Subdiagonal Algebras”, Funktsional. Anal. i Prilozhen., 50:2 (2016), 77–81; Funct. Anal. Appl., 50:2 (2016), 146–149
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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