Léonard Cadilhac

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20182026

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math.OA2026

A Non-commutative Individual Ergodic Theorem Along Sparse Random Subsequences

Léonard Cadilhac, Christian Le Merdy, Safoura Zadeh

Let $(M, τ)$ be a semifinite von Neumann algebra, let $J$ be a trace-preserving Jordan isomorphism, and let $(n_{k})_{k \geq 1}$ be a random increasing sequence of integers obtained by…

math.OA2019

Sum of Free Variables in Fully Symmetric Spaces

Léonard Cadilhac, Eric Ricard

We give a method to obtain, from Voiculescu's inequality, norm estimates for sums of free variables with amalgamation in general fully symmetric spaces. We use these estimates to i…

math.OA2018

Noncommutative Khintchine inequalities in interpolation spaces of $L_{p}$ -spaces

Léonard Cadilhac

We prove noncommutative Khintchine inequalities for all interpolation spaces between $L_{p}$ and $L_{2}$ with $p < 2$ . In particular, it follows that Khintchine inequalities hold in $L_{…

A Non-commutative Individual Ergodic Theorem Along Sparse Random Subsequences

Sum of Free Variables in Fully Symmetric Spaces

Noncommutative Khintchine inequalities in interpolation spaces of Lp​-spaces

Noncommutative Khintchine inequalities in interpolation spaces of $L_{p}$ -spaces