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On topological groups with an approximate fixed point property.

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… Click to show full 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.

Keywords: topological groups; property; groups approximate; approximate fixed; fixed point

Journal Title: Anais da Academia Brasileira de Ciencias
Year Published: 2017

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