Probabilistic representations of operator semigroups. A unifying approach

DOI10.1007/BF02573434zbMath0532.60007MaRDI QIDQ789084

Dietmar Pfeifer

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/134701

zbMATH Keywords

weak law of large numbersoperator semigroupsprobabilistic representation theorems

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Central limit and other weak theorems (60F05) Groups and semigroups of linear operators (47D03)

Related Items (7)

Some saturation properties of the representation formulae for \((C_ 0)\) \(m\)-parameter operator semigroups ⋮ A saturation property concerning a general probabilistic representation of operator semigroups ⋮ Asymptotic expansions of the representation formulae for (C₀) m-parameter operator semigroups¹.² ⋮ Semigroup structural form for Bernstein-type operators and its applications ⋮ A probabilistic variant of Chernoff's product formula ⋮ A general approach to approximation theory of operator semigroups ⋮ Approximation-theoretic aspects of probabilistic representations for operator semigroups

Cites Work

• A note on probabilistic representations of operator semigroups
• Approximation of unbounded functions and applications to representations of semigroups
• A probabilistic approach to representation formulae for semigroups of operators with rates of convergence
• On the Exponential Formulas of Semi-Group Theory.
• Bernstein polynomials and semigroups of operators
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