most citedQuasi-isolated elements in reductive groups

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math.OA2005

On the best constants in some non-commutative martingale inequalities

Marius Junge, Quanhua Xu

We determine the optimal orders for the best constants in the non-commutative Burkholder-Gundy, Doob and Stein inequalities obtained recently in the non-commutative martingale theo…

math.OA2005★ 4 cited

Noncommutative maximal ergodic theorems

Marius Junge, Quanhua Xu

This paper is devoted to the study of various maximal ergodic theorems in noncommutative -spaces. In particular, we prove the noncommutative analogue of the classical Dunford-…