Localitzation and duality of topological tensor-products

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Andreas , 1941- 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.

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Defant, Andreas , 1941-; Floret, Klaus. «Localitzation and duality of topological tensor-products». Collectanea Mathematica, 1984, vol.VOL 35, núm. 1, p. 43-62, https://raco.cat/index.php/CollectaneaMathematica/article/view/57087.