Representation theorems of linear operators on p-adic function spaces

• Aguayo, José ^[1] ; Chandía, Elsa ^[1] ; Ojeda, Jacqueline ^[1]
  1. [1] Universidad de Concepción

     Universidad de Concepción

     Comuna de Concepción, Chile

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 23, Nº. 2, 2004, págs. 97-110
• Idioma: inglés
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• Resumen

  • Let X be a 0-dimensional Hausforff topological space, E, F nonarchimedean Banach spaces and Cb(X, E) the space of all continuous E-valued functions on X provided with two strict topologies. In this paper we show that every F-valued linear operator which is strictly continuous can be represented by a certain L(E, F )-valued measure defined on the ring of all clopen subsets of X.