Convergence rates of ergodic limits for semigroups and cosine functions

DOI10.1007/BF02194616zbMath0393.47004OpenAlexW1998868279MaRDI QIDQ1252513

Charles Radin, Jerome A. Goldstein, Ralph E. Showalter

Publication date: 1978

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134276

zbMATH Keywords

Bounded ProjectionCo-SemigroupConvergence Rates of Ergodic LimitsCosine FunctionsInfinitesimal Generator

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Groups and semigroups of linear operators (47D03)

Related Items

Abel ergodic theorems for strongly continuous cosine operators ⋮ Exterior Dirichlet and Neumann problems and the linked ergodic inverse problems in the entire space ⋮ On \(w^ *\)-continuous cosine operator functions ⋮ The mean ergodic theorem for cosine operator functions with optimal and non-optimal rates ⋮ Ergodic Projections of Continuous and Discrete Semigroups ⋮ Bernstein functions and rates in mean ergodic theorems for operator semigroups ⋮ Abstract wave equations and associated Dirac-type operators ⋮ Continuous dependence of ergodic limits ⋮ Some developments in semigroups of operators since Hille-Phillips ⋮ A mean ergodic theorem for resolvent operators ⋮ Almost periodic solutions of evolution equations ⋮ Unnamed Item ⋮ Semigroups of operators, cosine operator functions, and linear differential equations

Cites Work

• Cosine operator functions and the abstract Cauchy problem
• Ordinary differential equations in linear topological spaces. I
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