Localization and duality of topological tensor-products

Autores: Andreas Defant , Klaus Floret
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 35, Fasc. 1, 1984, págs. 43-61
Idioma: inglés
Títulos paralelos:
- Localización y dualidad de productos tensoriales topológicos
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Resumen
- 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.