Uniform Convergence of Ergodic Limits and Approximate Solutions

DOI10.2307/2159662zbMath0764.47006OpenAlexW4240893507MaRDI QIDQ3987563

Sen-Yen Shaw

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159662

zbMATH Keywords

semigroupsDunford-Pettis propertyGrothendieck spaceintegrated semigroupscosine operator functionsuniform ergodic theorems

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Ergodic theory of linear operators (47A35) Equations and inequalities involving linear operators, with vector unknowns (47A50) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items (7)

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 ⋮ An abstract ergodic theorem and some inequalities for operators on Banach spaces ⋮ Rates of approximation and ergodic limits of regularized operator families ⋮ Non-optimal rates of ergodic limits and approximate solutions ⋮ Convergence rates of regularized approximation processes.

Cites Work

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• Asymptotic behavior of pseudo-resolvents on some Grothendieck spaces
• Ergodic properties of operator semigroups in general weak topologies
• Solvability of linear functional equations in Lebesgue spaces
• Uniform Ergodic Theorems for Locally Integrable Semigroups and Pseudo-Resolvents
• On the Uniform Ergodic Theorem. II
• An application of ergodic theory to the solution of linear functional equations in Banach spaces
• On the Uniform Ergodic Theorem

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