25 citations · 30 across the 6 of their papers we have counts for
6 papers
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…
Embedding of and into noncommutative -spaces,
Quanhua Xu
We prove that a quotient of subspace of () embeds completely isomorphically into a noncommutative -space, where and are respectively the…
Operator space Grothendieck inequalities for noncommutative -spaces
Quanhua Xu
We prove the operator space Grothendieck inequality for bilinear forms on subspaces of noncommutative -spaces with . One of our results states that given a map $u:…
A description of
Quanhua Xu
We give a simple explicit description of the norm in the complex interpolation space for any von Neumann algebra and any .
On the maximality of subdiagonal algebras
Quanhua Xu
We consider Arveson's problem on the maximality of subdiagonal algebras. We prove that a subdiagonal algebra is maximal if it is invariant under the modular group of a faithful nor…
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-…