Adjungierte Funktoren in der Kategorie der p-Bornologischen R�ume

Abstract

In the category p ℒb of p-convex vector spaces and linear maps preserving bounded sets a p-bornological topology will be introduced on the tensor product of two spaces, likewise on the spaces of morphisms Hom(E,F). Thus one gets a pair of adjoint functors from p ℒℴ to p ℒℴ, p ℒℴ being the category of p-bornological spaces and continuous linear maps, and the topologies being introduced will be characterized by extreme properties with respect to the adjoint transformations.