On topological groups with an approximate fixed point property

Detalhes bibliográficos
Autor(a) principal: BARROSO,CLEON S.
Data de Publicação: 2017
Outros Autores: MBOMBO,BRICE R., PESTOV,VLADIMIR G.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652017000100019
Resumo: Abstract A topological group G has the Approximate Fixed Point (AFP) property on a bounded convex subset C of a locally convex space if every continuous affine action of G on C admits a net ( x i ), x i ∈ C, such that x i - g ⁢ x i ⟶ 0 for all g ∈ G. In this work, we study the relationship between this property and amenability.
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spelling On topological groups with an approximate fixed point propertyAmenable groupsapproximate fixed point propertyFølner propertyReiter propertyAbstract A topological group G has the Approximate Fixed Point (AFP) property on a bounded convex subset C of a locally convex space if every continuous affine action of G on C admits a net ( x i ), x i ∈ C, such that x i - g ⁢ x i ⟶ 0 for all g ∈ G. In this work, we study the relationship between this property and amenability.Academia Brasileira de Ciências2017-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652017000100019Anais da Academia Brasileira de Ciências v.89 n.1 2017reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/0001-3765201720150382info:eu-repo/semantics/openAccessBARROSO,CLEON S.MBOMBO,BRICE R.PESTOV,VLADIMIR G.eng2017-04-11T00:00:00Zoai:scielo:S0001-37652017000100019Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2017-04-11T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv On topological groups with an approximate fixed point property
title On topological groups with an approximate fixed point property
spellingShingle On topological groups with an approximate fixed point property
BARROSO,CLEON S.
Amenable groups
approximate fixed point property
Følner property
Reiter property
title_short On topological groups with an approximate fixed point property
title_full On topological groups with an approximate fixed point property
title_fullStr On topological groups with an approximate fixed point property
title_full_unstemmed On topological groups with an approximate fixed point property
title_sort On topological groups with an approximate fixed point property
author BARROSO,CLEON S.
author_facet BARROSO,CLEON S.
MBOMBO,BRICE R.
PESTOV,VLADIMIR G.
author_role author
author2 MBOMBO,BRICE R.
PESTOV,VLADIMIR G.
author2_role author
author
dc.contributor.author.fl_str_mv BARROSO,CLEON S.
MBOMBO,BRICE R.
PESTOV,VLADIMIR G.
dc.subject.por.fl_str_mv Amenable groups
approximate fixed point property
Følner property
Reiter property
topic Amenable groups
approximate fixed point property
Følner property
Reiter property
description Abstract A topological group G has the Approximate Fixed Point (AFP) property on a bounded convex subset C of a locally convex space if every continuous affine action of G on C admits a net ( x i ), x i ∈ C, such that x i - g ⁢ x i ⟶ 0 for all g ∈ G. In this work, we study the relationship between this property and amenability.
publishDate 2017
dc.date.none.fl_str_mv 2017-03-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652017000100019
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652017000100019
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0001-3765201720150382
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.89 n.1 2017
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
instacron_str ABC
institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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