4 citations · 8 across the 16 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
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…
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…