145 citations · 187 across the 19 of their papers we have counts for
21 papers
Dilations and rigid factorisations on noncommutative L^p-spaces
Marius Junge, Christian Le Merdy
We study some factorisation and dilation properties of completely positive maps on noncommutative L^p-spaces. We show that Akcoglu's dilation theorem for positive contractions on c…
Noncommutative Riesz transforms -- a probabilistic approach
Marius Junge, Tao Mei
For we show the lower estimates \[ \|A^{\frac 12}x\|_p \kl c(p)\max\{\pl \|Γ(x,x)^{1/2}\|_p,\pl \|Γ(x^*,x^*)^{1/2}\|_p\} \] for the Riesz transform associated to a…
Counterexamples for the convexity of certain matricial inequalities
Marius Junge, Quanhua Xu
This paper is withdrawn. We found a mistake in Lemma 4.1
A Maurey type result for operator spaces
Marius Junge, Hun Hee Lee
The little Grothendieck theorem for Banach spaces says that every bounded linear operator between and is 2-summing. However, it is shown in \cite{J05} that the oper…
Operator space Lp embedding theory I
Marius Junge, Javier Parcet
Given any , we use new free probability techniques to construct a completely isomorphic embedding of (equipped with its natural operator space structure) into…
Noncommutative Burkholder/Rosenthal inequalities II: applications
Marius Junge, Quanhua Xu
We show norm estimates for the sum of independent random variables in noncommutative -spaces for following our previous work. These estimates generalize the class…