Geodesic
Characterization of subdiagonal algebras on noncommutative Lorentz spaces
Eurasian mathematical journal, Tome 6 (2015) no. 3, pp. 6-12

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Let $(\mathcal{M}, \tau)$ be a finite von Neumann algebra, $\mathcal{A}$ be a tracial subalgebra of $\mathcal{M}$. We prove that $\mathcal{A}$ has $L^{p,q}$-factorization if and only if $\mathcal{A}$ is a subdiagonal algebra. We also obtain some characterizations of subdiagonal algebras. 
@article{EMJ_2015_6_3_a0,
     author = {T. N. Bekjan and A. Kairat},
     title = {Characterization of subdiagonal algebras on noncommutative {Lorentz} spaces},
     journal = {Eurasian mathematical journal},
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     number = {3},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2015_6_3_a0/}
}
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T. N. Bekjan; A. Kairat. Characterization of subdiagonal algebras on noncommutative Lorentz spaces. Eurasian mathematical journal, Tome 6 (2015) no. 3, pp. 6-12. http://geodesic.mathdoc.fr/item/EMJ_2015_6_3_a0/