Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Amenable_group> ?p ?o }
- Amenable_group abstract "In mathematics, an amenable group is a locally compact topological group G carrying a kind of averaging operation on bounded functions that is invariant under translation by group elements. The original definition, in terms of a finitely additive invariant measure (or mean) on subsets of G, was introduced by John von Neumann in 1929 under the German name \"messbar\" (\"measurable\" in English) in response to the Banach–Tarski paradox. In 1949 Mahlon M. Day introduced the English translation \"amenable\", apparently as a pun.The amenability property has a large number of equivalent formulations. In the field of analysis, the definition is in terms of linear functionals. An intuitive way to understand this version is that the support of the regular representation is the whole space of irreducible representations.In discrete group theory, where G has the discrete topology, a simpler definition is used. In this setting, a group is amenable if one can say what proportion of G any given subset takes up.If a group has a Følner sequence then it is automatically amenable.".
- Amenable_group wikiPageExternalLink some-notes-on-amenability.
- Amenable_group wikiPageID "657430".
- Amenable_group wikiPageLength "20910".
- Amenable_group wikiPageOutDegree "90".
- Amenable_group wikiPageRevisionID "687264328".
- Amenable_group wikiPageWikiLink Abelian_group.
- Amenable_group wikiPageWikiLink Affine_transformation.
- Amenable_group wikiPageWikiLink Algebraic_geometry.
- Amenable_group wikiPageWikiLink Almost_everywhere.
- Amenable_group wikiPageWikiLink Amenable_Banach_algebra.
- Amenable_group wikiPageWikiLink Annals_of_Mathematics.
- Amenable_group wikiPageWikiLink Axiom_of_choice.
- Amenable_group wikiPageWikiLink Banach_space.
- Amenable_group wikiPageWikiLink Banach–Tarski_paradox.
- Amenable_group wikiPageWikiLink Borel_regular_measure.
- Amenable_group wikiPageWikiLink Burnsides_problem.
- Amenable_group wikiPageWikiLink C*-algebra.
- Amenable_group wikiPageWikiLink Category:Geometric_group_theory.
- Amenable_group wikiPageWikiLink Category:Topological_groups.
- Amenable_group wikiPageWikiLink Commentarii_Mathematici_Helvetici.
- Amenable_group wikiPageWikiLink Compact_space.
- Amenable_group wikiPageWikiLink Convex_set.
- Amenable_group wikiPageWikiLink Counting_measure.
- Amenable_group wikiPageWikiLink Direct_product_of_groups.
- Amenable_group wikiPageWikiLink Discrete_group.
- Amenable_group wikiPageWikiLink Discrete_space.
- Amenable_group wikiPageWikiLink Elementary_amenable_group.
- Amenable_group wikiPageWikiLink Essential_supremum_and_essential_infimum.
- Amenable_group wikiPageWikiLink Finite_group.
- Amenable_group wikiPageWikiLink Finitely_generated_abelian_group.
- Amenable_group wikiPageWikiLink Finitely_generated_group.
- Amenable_group wikiPageWikiLink Free_group.
- Amenable_group wikiPageWikiLink Fundamenta_Mathematicae.
- Amenable_group wikiPageWikiLink Fundamental_group.
- Amenable_group wikiPageWikiLink Følner_sequence.
- Amenable_group wikiPageWikiLink German_language.
- Amenable_group wikiPageWikiLink Grigorchuk_group.
- Amenable_group wikiPageWikiLink Group_(mathematics).
- Amenable_group wikiPageWikiLink Group_algebra.
- Amenable_group wikiPageWikiLink Group_extension.
- Amenable_group wikiPageWikiLink Growth_rate_(group_theory).
- Amenable_group wikiPageWikiLink Haar_measure.
- Amenable_group wikiPageWikiLink Hahn–Banach_theorem.
- Amenable_group wikiPageWikiLink Hausdorff_space.
- Amenable_group wikiPageWikiLink Hyperfinite.
- Amenable_group wikiPageWikiLink Index_of_a_subgroup.
- Amenable_group wikiPageWikiLink Integer.
- Amenable_group wikiPageWikiLink Invariant_(mathematics).
- Amenable_group wikiPageWikiLink Irreducible_representation.
- Amenable_group wikiPageWikiLink Jacques_Tits.
- Amenable_group wikiPageWikiLink John_von_Neumann.
- Amenable_group wikiPageWikiLink Kazhdans_property_(T).
- Amenable_group wikiPageWikiLink Lebesgue_integration.
- Amenable_group wikiPageWikiLink Linear_form.
- Amenable_group wikiPageWikiLink Locally_compact_space.
- Amenable_group wikiPageWikiLink Locally_convex_topological_vector_space.
- Amenable_group wikiPageWikiLink Markov–Kakutani_fixed-point_theorem.
- Amenable_group wikiPageWikiLink Mathematical_analysis.
- Amenable_group wikiPageWikiLink Mathematics.
- Amenable_group wikiPageWikiLink Matrix_group.
- Amenable_group wikiPageWikiLink Measure_(mathematics).
- Amenable_group wikiPageWikiLink Non-positive_curvature.
- Amenable_group wikiPageWikiLink Nuclear_C*-algebra.
- Amenable_group wikiPageWikiLink Ornstein_isomorphism_theorem.
- Amenable_group wikiPageWikiLink Oseledets_theorem.
- Amenable_group wikiPageWikiLink Presentation_of_a_group.
- Amenable_group wikiPageWikiLink Regular_representation.
- Amenable_group wikiPageWikiLink Second-countable_space.
- Amenable_group wikiPageWikiLink Sequence_space.
- Amenable_group wikiPageWikiLink Simple_group.
- Amenable_group wikiPageWikiLink Simplicial_complex.
- Amenable_group wikiPageWikiLink Solvable_group.
- Amenable_group wikiPageWikiLink Support_(mathematics).
- Amenable_group wikiPageWikiLink Tarski_monster_group.
- Amenable_group wikiPageWikiLink Terence_Tao.
- Amenable_group wikiPageWikiLink Tits_alternative.
- Amenable_group wikiPageWikiLink Topological_group.
- Amenable_group wikiPageWikiLink Topology_(journal).
- Amenable_group wikiPageWikiLink Torsion_group.
- Amenable_group wikiPageWikiLink Uniformly_bounded_representation.
- Amenable_group wikiPageWikiLink V._Oseledets.
- Amenable_group wikiPageWikiLink Von_Neumann_algebra.
- Amenable_group wikiPageWikiLink Von_Neumann_conjecture.
- Amenable_group wikiPageWikiLinkText "Amenable group".
- Amenable_group wikiPageWikiLinkText "amenability".
- Amenable_group wikiPageWikiLinkText "amenable group".
- Amenable_group wikiPageWikiLinkText "amenable".
- Amenable_group wikiPageWikiLinkText "non-amenable groups".
- Amenable_group wikiPageWikiLinkText "nonamenable group".
- Amenable_group wikiPageWikiLinkText "subamenable".
- Amenable_group id "3598".
- Amenable_group title "Amenable group".
- Amenable_group wikiPageUsesTemplate Template:Citation.
- Amenable_group wikiPageUsesTemplate Template:Harvtxt.
- Amenable_group wikiPageUsesTemplate Template:PlanetMath_attribution.
- Amenable_group wikiPageUsesTemplate Template:Reflist.
- Amenable_group subject Category:Geometric_group_theory.
- Amenable_group subject Category:Topological_groups.
- Amenable_group hypernym Invariant.