The adjoint theorem on A-spaces.
The closed graph theorem for multilinear mappings.
The Mackey convergence condition for spaces with webs.
The Open Mapping and Closed Range Theorems.
The space is not -complete
Certain classes of locally convex space having non complete separated quotients are studied and consequently results about -completeness are obtained. In particular the space of L. Schwartz is not -complete where denotes a non-empty open set of the euclidean space .
The Space of Distributions D' (...) is not Br- Complete.
Théorème du graphe fermé dans les G-espaces topologiques.
In this paper we introduce the notion of topological G-spaces. This is an intermediate class between G-sets and A-modules. After giving suitable definitions and illustrating examples, we prove a theorem of closed graph theorem type.
Tonneliertheit in lokalkonvexen Vektorgruppen.
Topological vector spaces over topological division rings: barrelled, bornological and quasibarrelled spaces
Topologisch lineare induktive Limiten mit abzählbarem kompakten Spektrum.
True preimages of compact or separable sets for functional analysts
We discuss various results on the existence of ‘true’ preimages under continuous open maps between -spaces, -lattices and some other spaces. The aim of the paper is to provide accessible proofs of this sort of results for functional-analysts.