An analogue of Fekete’s lemma for subadditive functions on cancellative amenable semigroups

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• 作者：Tullio Ceccherini-Silberstein (1)
  Michel Coornaert (2)
  Fabrice Krieger (3)
  
• 刊名：Journal d'Analyse Math篓娄matique
• 出版年：2014
• 出版时间：October 2014
• 年：2014
• 卷：124
• 期：1
• 页码：59-81
• 全文大小：426 KB
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• 作者单位：Tullio Ceccherini-Silberstein (1)
  Michel Coornaert (2)
  Fabrice Krieger (3)
  
  1. Dipartimento di Ingegneria, Università del Sannio, C.so Garibaldi 107, 82100, Benevento, Italy
  2. Institut de Recherche Mathématique Avancée, UMR 7501, Université de Strasbourg et CNRS, 7 rue René-Descartes, 67000, Strasbourg, France
  3. Lycée Général et Technologique Adam de Craponne, 218 rue Chateauredon, 13300, Salon-de-Provence, France
  
• ISSN：1565-8538

文摘

We prove an analogue of Fekete’s lemma for subadditive right-subinvariant functions defined on the finite subsets of a cancellative left-amenable semigroup. This extends results previously obtained in the case of amenable groups by E. Lindenstrauss and B. Weiss and by M. Gromov.