Resumen de The Orlicz-Pettis property in p-adic analysis

María Cristina Pérez García , W. H. Schikhof

• For a non-archimedean locally convex space $E$ the property (O.P.): "every weakly convergent sequence in $E$ is convergent" is studied. Examples are given (1.3, 2.4-2.7). If the scalar field $K$ is spherically complete every $E$ has (O.P.)(1.2). If not, the property (O.P.) is closely related to "$E$ does not contain $\ell^\infty$" (3.2).