A radon nikodym theorem in the non-archimedean setting

• Moraga, Mirta ^[1] ; Aguayo, José ^[2]
  1. [1] Universidad de Magallanes

     Universidad de Magallanes

     Punta Arenas, Chile

     
  2. [2] Universidad de Concepción

     Universidad de Concepción

     Comuna de Concepción, Chile

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 20, Nº. 3, 2001, págs. 263-279
• Idioma: inglés
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• Resumen

  • In this paper we define the absolutely continuous relation between nonarchimedean scalar measures and then we give and prove a version of the Radon-Nykodym Theorem in this setting.We also define the nonarchimedean vector measure and prove some results in order to prepare a version of this Theorem in a vector case.