On topological groups with an approximate fixed point property

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 t...

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Bibliographic Details
Main Authors: CLEON S. BARROSO, BRICE R. MBOMBO, VLADIMIR G. PESTOV
Format: Article
Language:English
Published: Academia Brasileira de Ciências
Series:Anais da Academia Brasileira de Ciências
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652017000100019&lng=en&tlng=en