On the existence of unitary representations of commutative nuclear Lie groups
On the extension of holomorphic functions on a locally convex space
On the extension of holomorphic maps on locally convex spaces with values in Fréchet spaces
On the extension of Lipschitz maps with values in a Fréchet space
On the functors Ext¹(E,F) for Fréchet spaces
On the numerical range of operators on locally and on H-locally convex spaces
The spatial numerical range for a class of operators on locally convex space was studied by Giles, Joseph, Koehler and Sims in [3]. The purpose of this paper is to consider some additional properties of the numerical range on locally convex and especially on -locally convex spaces.
On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces
On the splitting of twisted sums, and the three space problem for local convexity
On the structure of G-spaces
On the three-space property for locally convex spaces.
On the three-space-problem for topological vector spaces.
On two classes of LF-spaces
On weighted inductive limits of non-Archimedean spaces of continuous functions
Si studiano alcune proprietà di un certo limite induttivo di spazi non-archimedei di funzioni continue. In particolare, si esamina la completezza di questo limite induttivo e si indaga il problema di quando lo spazio coincide con il proprio inviluppo proiettivo.
On Weighted Inductive Limits of Spaces of Continuous Function.
Open Subsets of LF-spaces
Let F = ind lim Fₙ be an infinite-dimensional LF-space with density dens F = τ ( ≥ ℵ ₀) such that some Fₙ is infinite-dimensional and dens Fₙ = τ. It is proved that every open subset of F is homeomorphic to the product of an ℓ₂(τ)-manifold and (hence the product of an open subset of ℓ₂(τ) and ). As a consequence, any two open sets in F are homeomorphic if they have the same homotopy type.