A property for nonarchimedean locally convex spaces

José Aguayo
Universidad de Concepción - Samuel Navarro
Universidad de Santiago de Chile

Date:

We consider Banach spaces over a nonarchimedean valued field. Here we present an approach to the Dunford Pettis property in nonarchimedean case. This property was initially presented by Grothendieck considering the real or the complex field. We discuss examples of Banach spaces with the property and Banach spaces without the property. We extend the characterization to locally convex spaces and present some relations between the spaces with the property and other classes of locally convex spaces.