A bornological approach to rotundity and smoothness applied to approximation.
A Class of Bornological Barrelled Spaces which Are not Ultrabornological.
A normability condition on locally convex spaces.
In a previous work (1990) we introduced a certain property (y) on locally convex spaces and used it to remove the assumption of separability from the theorem of Bellenot and Dubinsky on the existence of nuclear Köthe quotients of Fréchet spaces. Our purpose is to examine condition (y) further and relate it to some other normability conditions. Some of our results were already announced in Önal (1989).
A note on closed graph theorems.
A useful algebra for functional calculus
We show that some unital complex commutative LF-algebra of -tempered functions on (M. Hemdaoui, 2017) equipped with its natural convex vector bornology is useful for functional calculus.
Axioms for convenient calculus