A class of generalized Ornstein transformations with the weak mixing property
A condition equivalent to uniform ergodicity
Let T be a linear operator on a Banach space X with for some 0 ≤ w < 1. We show that the following conditions are equivalent: (i) converges uniformly; (ii) .
A general differentiation theorem for multiparameter additive processes
Let be a Banach lattice of equivalence classes of real-valued measurable functions on a σ-finite measure space and be a strongly continuous locally bounded d-dimensional semigroup of positive linear operators on L. Under suitable conditions on the Banach lattice L we prove a general differentiation theorem for locally bounded d-dimensional processes in L which are additive with respect to the semigroup T.
A general differentiation theorem for n-dimensional additive processes.
A general differentiation theorem for superadditive processes
Let L be a Banach lattice of real-valued measurable functions on a σ-finite measure space and T=: t < 0 be a strongly continuous semigroup of positive linear operators on the Banach lattice L. Under some suitable norm conditions on L we prove a general differentiation theorem for superadditive processes in L with respect to the semigroup T.
A general ratio ergodic theorem for Abel sums
A generalization of the uniform ergodic theorem to poles of arbitrary order
A generalization of the Yosida-Kakutani ergodic theorem
A mean ergodic theorem for a contraction semigroup in Lebesgue space
A mean ergodic theorem for resolvent operators.
A Multiparameter Strongly Superadditive Ergodic Theorem.
A new class of Ornstein transformations with singular spectrum
A Non-Commutative Individual Ergodic Theorem.
A note on a local ergodic theorem
A note on cocycles in ergodic theory
A note on convergence of semigroups
Convergence of semigroups which do not converge in the Trotter-Kato-Neveu sense is considered.
A note on operator convergence for semigroups
A note on the almost everywhere convergence of alternating sequences with Dunford-Schwartz operators
A note on the powers of Cesàro bounded operators
In this note we give a negative answer to Zem�nek’s question (1994) of whether it always holds that a Cesàro bounded operator on a Hilbert space with a single spectrum satisfies
A potential operator and some ergodic properties of a positive contraction