Mean-bounded operators and mean ergodic theorems

DOI10.1016/0022-1236(85)90037-0zbMath0562.47007OpenAlexW2090396155MaRDI QIDQ1056879

Richard Emilion

Publication date: 1985

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90037-0

zbMATH Keywords

Tauberian theoremCesàro convergence in normmean-bounded positive operatorresolentthe mean and the pointwise ergodic theorem

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Spectrum, resolvent (47A10) Linear operators on ordered spaces (47B60)

Related Items (30)

Ergodic and dynamical properties of \(m\)-isometries ⋮ Growth orders and ergodicity for absolutely Cesàro bounded operators ⋮ On the ergodic properties of positive operators ⋮ On ergodic theorem for a family of operators ⋮ Mean ergodicity and spectrum of the Cesàro operator on weighted \(c_0\) spaces ⋮ On the peripheral point spectrum and the asymptotic behavior of irreducible semigroups of Harris operators ⋮ Cesàro bounded operators in Banach spaces ⋮ The return times and the Wiener—Wintner property for mean-bounded positive operators in L^p ⋮ Théorème ergodique pour les opérateurs positifs à moyennes bornées sur les espaces L_p(1 < p < ∞) ⋮ A Model of Seasonal Savanna Dynamics ⋮ Limit theorems for Markov chains by the symmetrization method ⋮ On power-subadditive positive operators on the $L_p$ spaces $(1<p<\infty )$ ⋮ Sequences behavior and applications ⋮ Multiparameter ergodic theorems of abelian type for power-bounded operators ⋮ DOUBLY ABEL BOUNDED OPERATORS WITH SINGLE SPECTRUM ⋮ Non-uniform Kozlov–Treschev averagings in the ergodic theorem ⋮ Poisson equation and discrete one-sided Hilbert transform for \((C, \alpha)\)-bounded operators ⋮ On the peripheral spectrum of positive operators ⋮ Asymptotic behavior of a Feller evolution family involved in the Fisher-Wright model ⋮ Convergence theorems and Tauberian theorems for functions and sequences in Banach spaces and Banach lattices ⋮ Local mean ergodic theorems in Banach spaces ⋮ Ratio Tauberian theorems for positive functions and sequences in Banach lattices ⋮ Cesàro sums and algebra homomorphisms of bounded operators ⋮ Operator inequalities, functional models and ergodicity ⋮ Ratio limit theorems and Tauberian theorems for vector-valued functions and sequences ⋮ Invariant means on bounded vector-valued functions ⋮ Super-Ergodic operators ⋮ Resolvent conditions and growth of powers of operators ⋮ Unnamed Item ⋮ Ergodic theorem for positive operators on \(L_p\)-spaces \((1<p<\infty)\) revisited

Cites Work

• Unnamed Item
• On invariant measures and ergodic theorems for positive operators
• Ergodic properties of isometries in $L^p$ spaces $1 < p < \infty$
• Abstract Ergodic Theorems and Weak Almost Periodic Functions

This page was built for publication: Mean-bounded operators and mean ergodic theorems