Entire functions of order , with bounds on both axes.
Entropy and Eigenvalues of Certain Integral Operators.
Entropy of a doubly stochastic Markov operator and of its shift on the space of trajectories
We define the space of trajectories of a doubly stochastic operator on L¹(X,μ) as a shift space , where ν is a probability measure defined as in the Ionescu-Tulcea theorem and σ is the shift transformation. We study connections between the entropy of a doubly stochastic operator and the entropy of the shift on the space of trajectories of this operator.
Entropy of -valued operators and diverse applications.
Equality of coarse topologies in inverse transformations
Equicontinuous families of operators generating mean periodic maps
The existence of mean periodic functions in the sense of L. Schwartz, generated, in various ways, by an equicontinuous group or an equicontinuous cosine function forces the spectral structure of the infinitesimal generator of or . In particular, it is proved under fairly general hypotheses that the spectrum has no accumulation point and that the continuous spectrum is empty.
Equivalence of Boundary Eigenvalue Operator Fuctions and their Characteristic Matrix Functions.
Equivalence of Decomposability and 2-Decomposability for Several Commuting Operators.
Equivalence of -irreducibility concepts
Equivalences of C*-dynamical systems
Ergodic averages with generalized weights
Two types of weighted ergodic averages are studied. It is shown that if F = {Fₙ} is an admissible superadditive process relative to a measure preserving transformation, then a Wiener-Wintner type result holds for F. Using this result new good classes of weights generated by such processes are obtained. We also introduce another class of weights via the group of unitary functions, and study the convergence of the corresponding weighted averages. The limits of such weighted averages are also identified....
Ergodic decomposition of quasi-invariant probability measures
The purpose of this note is to prove various versions of the ergodic decomposition theorem for probability measures on standard Borel spaces which are quasi-invariant under a Borel action of a locally compact second countable group or a discrete nonsingular equivalence relation. In the process we obtain a simultaneous ergodic decomposition of all quasi-invariant probability measures with a prescribed Radon-Nikodym derivative, analogous to classical results about decomposition of invariant probability...
Ergodic Families of Affine Operators.
Ergodic Measure Preserving Transformations with Arbitrary Finite Spectral Multiplicities.
Ergodic power functions for mean bounded, invertible, positive operators
Ergodic properties of contraction semigroups in ,
Let be a strongly continuous semigroup of linear contractions in , , of a -finite measure space. In this paper we prove that if there corresponds to each a positive linear contraction in such that for all , then there exists a strongly continuous semigroup of positive linear contractions in such that for all and . Using this and Akcoglu’s dominated ergodic theorem for positive linear contractions in , we also prove multiparameter pointwise ergodic and local ergodic theorems...
Ergodic results for certain contractions on Orlicz spaces with fixed points.
Ergodic theorems and perturbations of contraction semigroups
We provide sufficient conditions for sums of two unbounded operators on a Banach space to be (pre-)generators of contraction semigroups. Necessary conditions and applications to positive emigroups on Banach lattices are also presented.
Ergodic theorems for certain power bounded operators.
Ergodic theorems for contractions in Orlicz-Kantorovich lattices.