{"id":"hexagon/2611.00093","pdf":"https://hexagonmath.org/pdf/2611.00093v1","url":"https://hexagonmath.org/abs/2611.00093v1","tags":["math.CA","msc:46L08","Hilbert C*-module.","Mean Ergodic Theorem"],"score":0,"title":"Noncommutative von Neumann-Riesz and von Neumann-Riesz-Lorch Mean Ergodic Theorems","domain":"math.OA","source":"hexagon","authors":["K. MAHESH KRISHNA"],"reviews":0,"subject":"math.OA","summary":"We derive noncommutative von Neumann-Riesz and von Neumann-Riesz-Lorch mean ergodic theorems for adjointable contractions on a Hilbert C*-module. We crucially use a result obtained by Paschke [\\textit{Trans. Amer. Math. Soc., 1973}]. We also note that the exact version of the noncommutative von Neumann–Riesz mean ergodic theorem fails.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-11-05","reactions":{},"withdrawn":false,"authorship":"human","formalized":false,"human_understanding":"all"}