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Polar topologies on sequence spaces in non-archimedean analysisDOI: 10.4067/S0716-09172012000200002 Keywords: locally k-convex topologies, non archimedean sequence spaces, schauder basis, separated duality. Abstract: 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.
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