Geodesic
Factorization Properties of Subdiagonal Algebras
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 2, pp. 77-81

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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, subdiagonal algebra, noncommutative symmetric space.
Mots-clés : tracial subalgebra 
@article{FAA_2016_50_2_a5,
     author = {T. N. Bekjan and K. N. Ospanov},
     title = {Factorization {Properties} of {Subdiagonal} {Algebras}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {77--81},
     publisher = {mathdoc},
     volume = {50},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2016_50_2_a5/}
}
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T. N. Bekjan; K. N. Ospanov. Factorization Properties of Subdiagonal Algebras. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 2, pp. 77-81. http://geodesic.mathdoc.fr/item/FAA_2016_50_2_a5/