Report
Talagrand type for noncommutative $L_1$ spaces
| Τίτλος: | Talagrand type for noncommutative $L_1$ spaces |
|---|---|
| Συγγραφείς: | Luo, Sijie, Wang, Yusen, Zhou, Dejian |
| Έτος έκδοσης: | 2026 |
| Θεματικοί όροι: | Operator Algebras, Functional Analysis |
| Περιγραφή: | Let $(\mathcal{M},τ)$ be a semi-finite von Neumann algebra. We prove that $L_1(\mathcal{M})$ has Talagrand type $(1,ψ_{1,1})$, where $ψ_{1,1}(t)=t/\log(e+t)$. As an consequence, the Schatten trace class $S_1$ has Talagrand type $(1,ψ_{1,1})$, thus settled an open problem of Question 2 in Cordero-Erausquin and Eskenazis (2023). Our proof is based on the noncommutative Mazur maps initiated by Ricard. |
| Τύπος εγγράφου: | Working Paper |
| DOI: | 10.48550/arXiv.2610.03407 |
| Σύνδεσμος πρόσβασης: | https://arxiv.org/abs/2610.03407 |
| Αριθμός Καταχώρησης: | edsarx.2610.03407 |
| Βάση Δεδομένων: | arXiv |
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