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Anais da Academia Brasileira de Ciências

versão impressa ISSN 0001-3765versão On-line ISSN 1678-2690

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BARROSO, CLEON S.; MBOMBO, BRICE R.  e  PESTOV, VLADIMIR G.. On topological groups with an approximate fixed point property. An. Acad. Bras. Ciênc. [online]. 2017, vol.89, n.1, pp.19-30. ISSN 0001-3765.  http://dx.doi.org/10.1590/0001-3765201720150382.

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.

Palavras-chave : Amenable groups; approximate fixed point property; Følner property; Reiter property.

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