Resumen de Localization and duality of topological tensor-products

Andreas Defant , Klaus Floret

• Using the localization results in [5] for compact subsets of Schwartz' $\epsilon$-product, pairs $(G,F)$ of quasicomplete locally convex spaces with the property that the duality equations. $$(\epsilon')\quad(G\epsilon F)'_{co}=G'_{co}\widetilde\otimes_\pi F'_{co}$$ $$(\pi')\quad (G'_{co}\widetilde\otimes_\pi F'_{co})_{co}^{'}=G\epsilon F$$ hold true (cop oints at the topology of uniform convergence on compact sets) sill be charracterized.