58 citations · 191 across the 29 of their papers we have counts for
10 papers · 1 filter
Noncommutative maximal inequalities for polynomial ergodic averages
Guixiang Hong, Wenbo Li, Eric Ricard +1
We prove a noncommutative maximal ergodic inequality for averages along polynomial sequences. Let be a trace-preserving automorphism of a semifinite von Neumann algebra $(\math…
Schur tests and estimates for positive semigroups on non commutative
Clément Coine, Mélina Laforge, Éric Ricard
We extend the recent results of Arnold on estimates for Kreiss positive semigroups on -spaces to the non commutative setting, . We also provide a sharp example. Al…
Calderón-Zygmund theory with noncommuting kernels via
Antonio Ismael Cano-Mármol, Éric Ricard
We study an alternative definition of the -space associated to a semicommutative von Neumann algebra , first studied by Me…
Higher order extension of Löwner's theory: Operator -tone functions
Uwe Franz, Fumio Hiai, Éric Ricard
The new notion of operator/matrix -tone functions is introduced, which is a higher order extension of operator/matrix monotone and convex functions. Differential properties of m…
An asymmetric Kadison's inequality
Jean-Christophe Bourin, Éric Ricard
Some inequalities for positive linear maps on matrix algebras are given, especially asymmetric extensions of Kadison's inequality and several operator versions of Chebyshev's inequ…
Transfer of Fourier multipliers into Schur multipliers and sumsets in a discrete group
Stefan Neuwirth, Éric Ricard
We inspect the relationship between relative Fourier multipliers on noncommutative Lebesgue-Orlicz spaces of a discrete group and relative Toeplitz-Schur multipliers on Schatten-vo…