On topological groups with an approximate fixed point property



Document title: On topological groups with an approximate fixed point property
Journal: Anais da Academia Brasileira de Ciencias
Database: PERIÓDICA
System number: 000418004
ISSN: 0001-3765
Authors: 1
2
3
Institutions: 1Universidade Federal do Ceara, Departamento de Matematica, Fortaleza, Ceara. Brasil
2Universidade de Sao Paulo, Instituto de Matematica e Estatistica, Sao Paulo. Brasil
3Universidade Federal de Santa Catarina, Departamento de Matematica, Florianopolis, Santa Catarina. Brasil
Year:
Season: Mar
Volumen: 89
Number: 1
Pages: 19-30
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, aplicado
English 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 (xi) , xi∈C , such that xi−gxi⟶0 for all g∈G . In this work, we study the relationship between this property and amenability
Disciplines: Matemáticas
Keyword: Matemáticas aplicadas,
Topología,
Propiedad de Felner,
Propiedad de Reiter
Keyword: Applied mathematics,
Topology,
Felner property,
Reiter property
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