187 citations · 1.5k across the 105 of their papers we have counts for
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Embedding of OH and logarithmic `little Grothendieck inequality'
Marius Junge
We use Voiculescu's concept of free probability to construct a completely isomorphic embedding of the operator space OH in the predual of a von Neumann algebra. We analyze the prop…
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…
Universal collective rotation channels and quantum error correction
Marius Junge, Peter T. Kim, David W. Kribs
We present and investigate a new class of quantum channels, what we call `universal collective rotation channels', that includes the well-known class of collective rotation channel…
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…