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math.OA2023
On the non-commutative Neveu decomposition and stochastic ergodic theorems
Panchugopal Bikram, Diptesh Saha
In this article, we prove Neveu decomposition for the action of the locally compact amenable semigroup of positive contractions on semifinite von Neumann algebras and thus, it enti…
math.OA2023
On noncommutative ergodic theorems for semigroup and free group actions
Panchugopal Bikram, Diptesh Saha
In this article, we consider actions of \mathcal{Z}_+^d, \mathcal{R}_+^d and finitely generated free groups on a von Neumann algebras and prove a version of maximal ergodic ine…
math.OA2023
Weighted Subsequential ergodic theorems on Orlicz spaces
Panchugopal Bikram, Diptesh Saha
For a semifinite von Neumann algebra M, individual convergence of subsequential, \mathcal{Z}(M) (center of M) valued weighted ergodic averages are studied in noncommutative Orlicz…