23 citations · 36 across the 12 of their papers we have counts for
10 papers · 1 filter
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 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…
Embedding of the operator space OH and the logarithmic `little Grothendieck inequality'
Marius Junge
Using free random varaibles we find an embedding of the operator space in the predual of a von Neumann algebra. The properties of this embedding allow us to determined the pro…
Noncommutative Lp modules
Marius Junge, David Sherman
We construct classes of von Neumann algebra modules by considering ``column sums" of noncommutative L^p spaces. Our abstract characterization is based on an L^{p/2}-valued inner pr…