Resumen de Polar Topologies on sequence spaces in non-archimedean analysis

R. Ameziane, Abdelkhalek El Amrani, Mohammed Babahmed

• 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.