Hopfs ergodic theorem for nonlinear operators.
Induced contraction semigroups and random ergodic theorems [Book]
Inequalities for product operators and vector valued ergodic theorems
Inequalities for the ergodic maximal function
Interval Exchange Transformations.
Invariant functions for positive operators on normed Köthe spaces
Invariant measures for iterated function systems
A new criterion for the existence of an invariant distribution for Markov operators is presented. Moreover, it is also shown that the unique invariant distribution of an iterated function system is singular with respect to the Hausdorff measure.
Invariant measures for Markov operators with application to function systems
A new sufficient condition for the existence of an invariant measure for Markov operators defined on Polish spaces is presented. This criterion is applied to iterated function systems.
Invariant measures for random dynamical systems [Book]
Invariant measures for semigroups
Isometries on Irreducible Triangular Operator Algebras.
Korovkin sets and mean ergodic theorems.
Krengel-Lin decomposition for noncompact groups
Le théorème de Riesz-Raikov-Bourgain pour un endomorphisme algébrique de
Le théorème classique de Riesz-Raikov assure que, pour tout entier et toute de , où , les moyennespour presque tout point de . J.Bourgain (cf.Israël Math. Conf. Proc. 1990) a prouvé que la convergence précédente a lieu pour tout réel algébrique et toute de . Dans cet article nous prouvons que, si est un endomorphisme de algébrique sur , dont les valeurs propres sont toutes de module , alors pour toute de , les moyennes convergent vers pour presque tout point de . Nous...
Le théorème ergodique de Chacón-Ornstein
Linear modulus of a multidimensional semigroup of -contractions and a differentiation theorem
Local ergodic properties of -operator semigroups
Local ergodic theorems.
Majoration des semi-groupes de contractions de L1 et applications
Marcinkiewicz multipliers of higher variation and summability of operator-valued Fourier series
Let , where, for 1 ≤ r < ∞, (resp., ) denotes the class of functions (resp., bounded functions) g: → ℂ such that g has bounded r-variation (resp., uniformly bounded r-variations) on (resp., on the dyadic arcs of ). In the author’s recent article [New York J. Math. 17 (2011)] it was shown that if is a super-reflexive space, and E(·): ℝ → () is the spectral decomposition of a trigonometrically well-bounded operator U ∈ (), then over a suitable non-void open interval of r-values, the condition...