A probabilistic approach to representation formulae for semigroups of operators with rates of convergence

DOI10.1007/BF02572553zbMath0452.60009MaRDI QIDQ1148604

L. Hahn, Paul L. Butzer

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/134451

zbMATH Keywords

modulus of continuityrates of convergencesemigroups of operatorsrepresentation formulae

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Representation of semigroups; actions of semigroups on sets (20M30) Probabilistic methods in group theory (20P05)

Related Items (6)

A retrospective on research visits of Paul Butzer's Aachen research group to Eastern Europe and Tenerife ⋮ Semigroup structural form for Bernstein-type operators and its applications ⋮ A general approach to approximation theory of operator semigroups ⋮ A note on probabilistic representations of operator semigroups ⋮ Probabilistic representations of operator semigroups. A unifying approach ⋮ Approximation-theoretic aspects of probabilistic representations for operator semigroups

Cites Work

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• A semigroup-theoretic proof of the law of large numbers
• Exponential formulae for semi-group of operators in terms of the resolvent
• Jackson and Bernstein-type inequalities for families of commutative operators in Banach spaces
• On the Exponential Formulas of Semi-Group Theory.
• On Hille's First Exponential Formula
• Bernstein polynomials and semigroups of operators

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