Marius Junge

Approximation properties for noncommutative Lp-spaces associated with discrete groups

Let

The Relations between Volume Ratios and New Concepts of GL Constants

1 < p < \infty

The iterated weak hilbert procedure

. It is shown that if

Volume Formulas in Lp-Spaces

G

Factorization through matrix spaces for finite rank operators between

is a discrete group with the approximation property introduced by Haagerup and Kraus, then the non-commutative

C^*

L_p(VN(G))

-algebras

space has the operator space approximation property. If, in addition, the group von Neumann algebra

Volume estimates for log-concave densities with application to iterated convolutions

VN(G)

Best constants and asymptotics of Marcinkiewicz-Zygmund inequalities

has the QWEP, i.e. is a quotient of a

Type and Cotype with Respect to Arbitrary Orthonormal Systems

C^*