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20162026
most citedMaximal ergodic inequalities for some positive operators on noncommutative -spaces

4 citations · 8 across the 16 of their papers we have counts for

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5 papers · 1 filter

math.OA2026

Failure of noncommutative Rota's theorem with endpoint

Hiranmoy Ghorui, Suman Mondal, Samya Kumar Ray

We construct a factorizable Markov map on a hyperfinite finite von Neumann algebra and a positive element for which the sequence does not converge…

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…

math.OA2025

Noncommutative ergodic theorems for action of semisimple Lie groups

Guixiang hong, Samya Kumar Ray

Let be a connected simple Lie group of real rank one and finite center, and let be a maximal compact subgroup. We study the families of spherical, ball, and uniform average…

math.OA2019★ 4 cited

Maximal ergodic inequalities for some positive operators on noncommutative -spaces

Guixiang Hong, Samya Kumar Ray, Simeng Wang

In this paper, we establish the one-sided maximal ergodic inequalities for a large subclass of positive operators on noncommutative -spaces for a fixed , which par…