%0 Journal Article %T Polar topologies on sequence spaces in non-archimedean analysis %A Ameziane Hassani %A R %A El Amrani %A A %A Babahed %A M %J Proyecciones (Antofagasta) %D 2012 %I Universidad Cat¨®lica del Norte %R 10.4067/S0716-09172012000200002 %X the purpose of the present paper is to develop a theory of a duality in sequence spaces over a non-archimedean vector space. we introduce polar topologies in such spaces, and we give basic results characterizing compact, c-compact, complete and ak -complete subsets related to these topologies. %K locally k-convex topologies %K non archimedean sequence spaces %K schauder basis %K separated duality. %U http://www.scielo.cl/scielo.php?script=sci_abstract&pid=S0716-09172012000200002&lng=en&nrm=iso&tlng=en