Uniform distribution, invariant means, and Riemann integrals

DOI10.1007/BF02362415zbMath0853.43002MaRDI QIDQ1905288

Alexander I. Shtern

Publication date: 1 February 1996

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Banach spacessemigroupsrepresentationamenabilityprobability spacemeansRiemann integralsmeasure spacesCesaro convergenceDixmier's criterion

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Means on groups, semigroups, etc.; amenable groups (43A07)

Cites Work

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• Amenable semigroups
• Functions with a unique mean value
• On finite equivalent invariant measures for semigroups of transformations
• General ergodic theorems
• A contribution to the theory of divergent sequences

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