Quantified functional analysis : recapturing the dual unit ballQuantified functional analysis : recapturing the dual unit ball
Faculty of Sciences. Mathematics and Computer Science
Faculty of Design Sciences
Results in mathematics. - Basel, 1984, currens
45(2004):3-4, p. 359-369
We introduce the weak approach structure for an arbitrary locally convex approach space and generalize the results from  about the weak approach structure of a normed space. Hereto we carefully develop the notion of a closed dual unit ball in an abstract setting (as a special kind of absolutely convex subset) because it is this kind of structure on the algebraic dual that induces, in a dualitycompatible way, a locally convex approach structure on the original space.