most citedSub-Structural Niching in Non-Stationary Environments

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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

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…