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math.OA2026
Maximal Ergodic Theorems for Operators with Finite Peripheral Spectrum
Subhajit Palai, Samya Kumar Ray
Let be a semifinite von Neumann algebra and be a positive contraction in the sense of Junge-Xu, of which the numerical…
math.OA2026
Lamperti Operators, Dilation Theory, and Applications in Noncommutative Ergodic Theory
Guixiang Hong, Wei Liu, Samya Kumar Ray +1
In this paper, we develop a novel framework for quantitative mean ergodic theorems in the noncommutative setting, with a focus on actions of amenable groups and semigroups. We prov…