von Neumann algebra;
tracial subalgebra;
subdiagonal algebra;
noncommutative symmetric space;
D O I:
暂无
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摘要:
Let M be a von Neumann algebra equipped with a normal finite faithful normalized trace τ, and let A be a tracial subalgebra of M. Let E be a symmetric quasi-Banach space on [0, 1]. We show that A has an LE(M)-factorization if and only if A is a subdiagonal algebra.
机构:
NRF CoE Math & Stat Sci Pure & Appl Analyt, Stat Sci, DSI, Internal Box 209,BAG X6001, ZA-2520 Potchefstroom, South AfricaUniv Houston, Dept Math, Houston, TX 77204 USA