S. Zadeh · wovepaper

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20182026

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6 papers · 1 filter

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…

Pointwise Convergence for Random Ergodic Averages in Non-commutative $L^{p}$ -spaces

Christian Le Merdy, Safoura Zadeh

Let $M$ be a semifinite von Neumann algebra and $T$ a positive contraction on both $L^{1} (M)$ and $L^{\infty} (M)$ . We consider ergodic averages along a random sparse subsequence determ…

Absolute dilation of Fourier multipliers

Christian Le Merdy, Safoura Zadeh

Let $M$ be a von Neumann algebra equipped with a normal semifinite faithful (nsf) trace. We say that an operator $T : M \to M$ is absolutely dilatabl…

On the extension of positive maps to Haagerup non-commutative $L^{p}$ -spaces

Christian Le Merdy, Safoura Zadeh

Let $M$ be a von Neumann algebra, let $φ$ be a normal faithful state on $M$ and let $L^{p} (M, φ)$ be the associated Haagerup non-commutative $L^{p}$ -spaces, for $1 \leq p \leq \infty$ . Let…

Surjective separating maps on noncommutative $L^{p}$ -spaces

Christian Le Merdy, Safoura Zadeh

Let $1 \leq p < \infty$ and let $T : L^{p} (M) \to L^{p} (N)$ be a bounded map between noncommutative $L^{p}$ -spaces. If $T$ is bijective and separating (i.e., for an…

On factorization of separating maps on noncommutative $L^{p}$ -spaces

Christian Le Merdy, Safoura Zadeh

For any semifinite von Neumann algebra $M$ and any $1 \leq p < \infty$ , we introduce a natutal $S^{1}$ -valued noncommutative $L^{p}$ -space $L^{p} (M; S^{1})$ . We say that…