Density and invariant means in left amenable semigroups

DOI10.1016/j.topol.2009.04.016zbMath1189.22003OpenAlexW1965317431MaRDI QIDQ1032900

Neil Hindman, Dona E. Strauss

Publication date: 5 November 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2009.04.016

zbMATH Keywords

densityamenableFølner netInvariant meansemigroup, Følner condition

Mathematics Subject Classification ID

Structure of topological semigroups (22A15)

Related Items (17)

Density of discrete semigroup flows ⋮ Configurations and invariant nets for amenable hypergroups and related algebras ⋮ Sets satisfying the central sets theorem ⋮ Density and invariant means in left amenable locally compact topological groups ⋮ Explicit iterations for Lipschitzian semigroups with the Meir-Keeler type contraction in Banach spaces ⋮ Combinatorially rich sets in arbitrary semigroups ⋮ Strongly amenable semigroups and nonlinear fixed point properties ⋮ Generators and relations for subsemigroups via boundaries in Cayley graphs. ⋮ Unnamed Item ⋮ On the interplay between additive and multiplicative largeness and its combinatorial applications ⋮ When is an invariant mean the limit of a Følner net? ⋮ Image partition regular matrices and concepts of largeness ⋮ Reiter nets for semidirect products of amenable groups and semigroups ⋮ Uniqueness of a Furstenberg system ⋮ Quotient sets and density recurrent sets ⋮ Unnamed Item ⋮ Partition regularity without the columns property

Cites Work

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• Folner's Conditions for Amenable Semi-Groups.
• Semigroups Satisfying a Strong Folner Condition
• Extreme Invariant Positive Operators
• Topological Semigroups with Invariant Means in the Convex Hull of Multiplicative Means
• On Topologically Invariant Means on a Locally Compact Group
• Functional Analytic Properties of Topological Semigroups and N-Extreme Amenability

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