A generalized version of the Abelian mean ergodic theorem with rates for semigroup operators and fractional powers of infinitesimal generators

DOI10.1007/BF03322063zbMath0927.47031OpenAlexW2055059764MaRDI QIDQ1281437

U. Westphal

Publication date: 22 March 1999

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322063

zbMATH Keywords

ergodic theorem\(K\)-functionalssemigroup operatorsfractional powers of Abel averages

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Ergodic theory of linear operators (47A35) Linear operator approximation theory (47A58)

Related Items (2)

Bernstein functions and rates in mean ergodic theorems for operator semigroups ⋮ Analytic continuation and stability of operator semigroups

Cites Work

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• On the sharpness of non-optimal approximation for semigroup operators
• The approximation of fractional powers of a closed operator
• Convergence rates of ergodic limits and approximate solutions
• Familles d'opérateurs potentiels
• The mean ergodic theorem for cosine operator functions with optimal and non-optimal rates
• Interpolationsmethoden zur Behandlung von Approximationsprozessen auf Banachräumen
• Applications of the theory of imaginary powers of operators
• An Approach to Fractional Powers of Operators via Fractional Differences
• Representation of fractional powers of infinitesimal generators of semigroups
• Fractional powers of operators

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