activity
20092026
most citedAnalysis on simple Lie groups and lattices

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.CA2026

Kakeya conjecture and High-Rank Lattice von Neumann algebras

Mikael de la Salle

If the non-commutative L p space of SLn(Z) has the completely bounded approximation property for some non-trivial value of p, then some form of the Kakeya conjecture holds in dimen…

math.GR2025

Random walk on hyperbolic groups and proper powers

Mikael de la Salle

The probability that a symmetric random walk in a hyperbolic group reaches a proper power has the same exponential rate of decay as the probability of return to the identity.

math.GR2024

is not purely matricial field

Michael Magee, Mikael de la Salle

We prove that every finite dimensional unitary representation of contains a non-zero -invariant vector. As a consequence,…

math.FA2022★ 1 cited

Analysis on simple Lie groups and lattices

Mikael de la Salle

We present a simple tool to perform analysis with groups such as SL(n,R) and SL(n,Z), that has been introduced by Vincent Lafforgue in his study of non-unitary representations, in…

math.FA2021

A duality operators/Banach spaces

Mikael de la Salle

Given a set of operators between subspaces of spaces, we characterize the operators between subspaces of spaces that remain bounded on the -valued space fo…

math.FA2009

Operator space valued Hankel matrices

Mikael de la Salle

If is an operator space, the non-commutative vector valued spaces have been defined by Pisier for any . In this paper a necessary and suffi…