Year: 2026
Type: preprint
Abstract: We prove a noncommutative maximal ergodic inequality for averages along polynomial sequences. Let $γ$ be a trace-preserving automorphism of a semifinite von Neumann algebra $(\mathcal N,τ)$. We show that the associated polynomial averages \begin{equation*} A_Nf:=\frac1N\sum_{n=1}^Nγ^{P(n)}(f), \qquad N\in\mathbb N, \end{equation*} satisfy a strong maximal inequality on $L_p(\mathcal N)$ for every $1
Source: arXiv (Cornell University)
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220723105