The β- and γ-duality of sequence spaces

AK-space (E, τ) is a linear spaceEof sequences with a locally convex topology τ for which the inclusion map: (E, τ) → (ω, product topology) is continuous. In (2) topological properties ofK-spaces were determined directly from properties of the spaceEand the topology τ. It is, however, very natural to consider duality properties ofK-spaces and the purpose of this paper is to determine some of these properties.