23 citations · 36 across the 12 of their papers we have counts for
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The optimal order for the p-th moment of sums of independent random variables with respect to symmetric norms and related combinatorial estimates
Marius Junge
We calculate the p-the moment of the sum of n independent random variables with respect to symmetric norm in R^n. The order of growth for upper bound p/ln p obtained in ths estimat…
Doob's inequality for non-commutative martingales
M. Junge
Let $1\le p<\8$ and $(x_n)_{\nen}$ be a sequence of positive elements in a non-commutative space and $(E_n)_{\nen}$ be an increasing sequence of conditional expectations, the…
On ${\OL}_{\infty}$ structure of nuclear -algebras
M. Junge, N. Ozawa, Z. J. Ruan
We study the local operator space structure of nuclear -algebras. It is shown that a -algebra is nuclear if and only if it is an $\OL_{\infty, \la}$ space for some (and a…
Approximation Properties for Non-commutative L_p-Spaces Associated with Discrete Groups
M. Junge, Z. -J. Ruan
Let . It is shown that if is a discrete group with the approximation property introduced by Haagerup and Kraus, then the non-commutative space has…