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math.FA2026
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…
math.FA2026
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…