Weighted Ergodic Theorem for Contractions of Orlicz-kantorovich Lattice Lm (∇̂, Μ̂)

Weak-L1 estimates and ergodic theorems

We prove that for any dynamical system (X,Σ,m, T ), the maximal operator defined by N∗f(x) = sup n 1 n # { 1 ≤ i : f(T ix) i ≥ 1 n } is almost everywhere finite for f in the Orlicz class L log logL(X), extending a result of Assani [2]. As an application, a weighted return times theorem is also proved.

Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state

The classical ergodic theory hasbeen built on σ-algebras. Later the Individual ergodictheorem was studied on more general structures like MV-algebrasand quantum structures. The aim of this paper is to formulate theIndividual ergodic theorem for intuitionistic fuzzy observablesusing  m-almost everywhere convergence, where  m...

A Mean Ergodic Theorem For Asymptotically Quasi-Nonexpansive Affine Mappings in Banach Spaces Satisfying Opial's Condition

ON MULTIPARAMETER WEIGHTED ERGODIC THEOREM FOR NONCOMMUTATIVE Lp-SPACES FARRUKH MUKHAMEDOV, MAKSUT MUKHAMEDOV, AND SEYIT TEMIR

In the paper we consider T1, . . . , Td absolute contractions of von Neumann algebra M with normal, semi-finite, faithful trace, and prove that for every bounded Besicovitch weight {a(k)} k∈Nd and every x ∈ Lp(M), (p > 1) the averages

Non-linear ergodic theorems in complete non-positive curvature metric spaces

Hadamard (or complete $CAT(0)$) spaces are complete, non-positive curvature, metric spaces. Here, we prove a nonlinear ergodic theorem for continuous non-expansive semigroup in these spaces as well as a strong convergence theorem for the commutative case. Our results extend the standard non-linear ergodic theorems for non-expansive maps on real Hilbert spaces, to non-expansive maps on Ha...