The Hahn-Banach Problem in Convergence Vector Spaces

Continuous convergence and the closed-graph theorem

“…Since E and F were assumed throughout to have point-separating linear functionals the diagram ( 2 ) . 1) implies 2 ) .…”

“…Let E be a n infinite dimensional BANACH space, X the collection of compact subsets of E and E , the associated MACKEY convergence space [2]. Let E be a n infinite dimensional BANACH space, X the collection of compact subsets of E and E , the associated MACKEY convergence space [2].…”