23 citations · 36 across the 12 of their papers we have counts for
13 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…
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-…
Operator spaces and Araki-Woods factors --A quantum probabilistic approach--
Marius Junge
We show that the operator Hilbert space OH introduced by Pisier embeds into the predual of the hyerfinite III1 factor. The main new tool is a Khintchine type inequality for the gen…
A noncommutative version of the John-Nirenberg theorem
Marius Junge, Magdalena Musat
We prove a noncommutative version of the John-Nirenberg theorem for nontracial filtrations of von Neumann algebras. As an application, we obtain an analogue of the classical large…
The norm of sums of independent noncommutative random variables in
Marius Junge, Javier Parcet
We investigate the norm of sums of independent vector-valued random variables in noncommutative Lp spaces. This allows us to obtain a uniform family of complete embeddings of the S…
A classification for 2-isometries of noncommutative Lp-spaces
Marius Junge, Zhong-Jin Ruan, David Sherman
In this paper we extend previous results of Banach, Lamperti and Yeadon on isometries of Lp-spaces to the non-tracial case first introduced by Haagerup. Specifically, we use operat…