Mean ergodic theorems and linear functional equations

DOI10.1016/0022-1236(89)90018-9zbMath0704.47006OpenAlexW2029405004MaRDI QIDQ916984

Sen-Yen Shaw

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90018-9

zbMATH Keywords

abstract mean ergodic theoremcontinuous cosine functions

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Equations involving linear operators, with operator unknowns (47A62) Equations and inequalities involving linear operators, with vector unknowns (47A50) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items

Local ergodic theorems for \(C_0\)-semigroups ⋮ Exterior Dirichlet and Neumann problems and the linked ergodic inverse problems in the entire space ⋮ The mean ergodic theorem for cosine operator functions with optimal and non-optimal rates ⋮ Strong and uniform mean stability of cosine and sine operator functions ⋮ Rates of approximation and ergodic limits of resolvent families ⋮ An abstract ergodic theorem and some inequalities for operators on Banach spaces ⋮ Convergence theorems and Tauberian theorems for functions and sequences in Banach spaces and Banach lattices ⋮ Uniform Convergence of Ergodic Limits and Approximate Solutions ⋮ Invariant means on bounded vector-valued functions ⋮ Solvability of linear functional equations in Lebesgue spaces ⋮ Rates of approximation and ergodic limits of regularized operator families ⋮ Non-optimal rates of ergodic limits and approximate solutions

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