关于非交换Orlicz空间的对角子代数（英文）

Characterization of Subdiagonal Algebras on Noncommutative Orlicz Spaces

设Φ是增长函数,M是正规有限忠实迹的von Neumann代数,A是M的一个迹子代数.首先证明了条件期望E的收缩性,其次证明了A有LΦ-分解当且仅当A是对角子代数.另外还给出了对角子代数的一些特征.

LetΦbe a growth function, M be finite von Neumann algebra with a faithful normal tracial stateτand A be a tracial subalgebra of M. We proved contractivity of conditional expectation E and A has LΦ-factorization if and only if A is a subdiagonal algebra. We also gave some characterizations of subdiagonal algebras.