Sequences in locally convex spaces
Some examples on quasi-barrelled spaces
The three following examples are given: a bornological space containing a subspace of infinite countable codimension which is not quasi-barrelled, a quasi-barrelled -space containing a subspace of infinite countable codimension which is not -space, and bornological barrelled space which is not inductive limit of Baire space.
Some properties of the tensor product of Schwartz εb-spaces.
We define the ε-product of an εb-space by quotient bornological spaces and we show that if G is a Schwartz εb-space and E|F is a quotient bornological space, then their εc-product Gεc(E|F) defined in [2] is isomorphic to the quotient bornological space (GεE)|(GεF).
Some remarks about Mackey convergence.
Some remarks on b-spaces (supplement)
Some Set-Theoretical Aspects of Differentation Theory.
Spaces of continuous functions taking their values in the ε-product.
Para un b-espacio nuclear N y un b-espacio E demostramos que si X es un espacio compacto entonces los b-espacios C (X,NεE) y NεC (X,E) son isomorfos. El mismo resultado se verifica también si X es un espacio localmente compacto que es numerable en el infinito.
Strictly webbed spaces and regularity properties of inductive limits.
Sur le theoreme de Bartle-Graves dans la categorie des quotients bornologiques
On se propose d’établir le Théor`eme de Bartle-Graves dans la catégorie des quotients bornologiques. Aussi, cela nous permet de définir certains espaces de fonctions `a valeurs dans des quotients bornologiques.
Sur les rapports de convexité des topologies et bornologies dans les espaces nucléaires