Uniform Convergence of Operators and Grothendieck Spaces with the Dunford-Pettis Property.
Uniform Convergence of Operators on L... and Similar Spaces.
Uniform Ergodic Theormes for Markov Operators on C(X).
Uniform exponential ergodicity of stochastic dissipative systems
We study ergodic properties of stochastic dissipative systems with additive noise. We show that the system is uniformly exponentially ergodic provided the growth of nonlinearity at infinity is faster than linear. The abstract result is applied to the stochastic reaction diffusion equation in with .
Uniformly ergodic A-contractions on Hilbert spaces
We study the concept of uniform (quasi-) A-ergodicity for A-contractions on a Hilbert space, where A is a positive operator. More precisely, we investigate the role of closedness of certain ranges in the uniformly ergodic behavior of A-contractions. We use some known results of M. Lin, M. Mbekhta and J. Zemánek, and S. Grabiner and J. Zemánek, concerning the uniform convergence of the Cesàro means of an operator, to obtain similar versions for A-contractions. Thus, we continue the study of A-ergodic...
Uniformly ergodic theorem for commuting multioperators.
Unique ergodicity of irreducible Markov operators on C(X)
Uniquely ergodic quadratic differentials.
Using density matrices in classical dynamical systems
Vector ergodic theorem in .
Vector-valued ergodic theorems for multiparameter additive processes
Let X be a reflexive Banach space and (Ω,Σ,μ) be a σ-finite measure space. Let d ≥ 1 be an integer and T=T(u):u=(, ... ,, ≥ 0, 1 ≤ i ≤ d be a strongly measurable d-parameter semigroup of linear contractions on ((Ω,Σ,μ);X). We assume that to each T(u) there corresponds a positive linear contraction P(u) defined on ((Ω,Σ,μ);ℝ) with the property that ∥ T(u)f(ω)∥ ≤ P(u)∥f(·)∥(ω) almost everywhere on Ω for all f ∈ ((Ω,Σ,μ);X). We then prove stochastic and pointwise ergodic theorems for a d-parameter...
Vector-valued ergodic theorems for multiparameter Additive processes II
Previously we obtained stochastic and pointwise ergodic theorems for a continuous d-parameter additive process F in L₁((Ω,Σ,μ);X), where X is a reflexive Banach space, under the condition that F is bounded. In this paper we improve the previous results by considering the weaker condition that the function is integrable on Ω.
Vector-valued transference and maximal ergodic theory in UMD-valued function spaces.
Weak almost periodicity of contractions and coboundaries of non-singular transformations
It is well known that a weakly almost periodic operator T in a Banach space is mean ergodic, and in the complex case, also λT is mean ergodic for every |λ|=1. We prove that a positive contraction on is weakly almost periodic if (and only if) it is mean ergodic. An example shows that without positivity the result is false. In order to construct a contraction T on a complex such that λT is mean ergodic whenever |λ|=1, but T is not weakly almost periodic, we prove the following: Let τ be an invertible...
Weak* convergence of iterates of Lasota-Mackey-Tyrcha operators
Weak- estimates and ergodic theorems.
Weak type inequalities for product operators
Weighted ergodic theorems along subsequences of density zero.
Weighted ergodic theorems for weakly mixing transformation groups.
In this paper we characterize weakly mixing transformation groups in terms of weighted ergodic theorems.
Weighted integral inequalities for the ergodic maximal operator and other sublinear operators. Convergence of the averages and the ergodic Hilbert transform