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Polar topologies on sequence spaces in non-archimedean analysisKeywords: 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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