Title
Quantified functional analysis : recapturing the dual unit ball
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Faculty of Design Sciences
Publication type
article
Publication
Basel ,
Subject
Mathematics
Source (journal)
Results in mathematics. - Basel, 1984, currens
Volume/pages
45(2004) :3-4 , p. 359-369
ISSN
1422-6383
1420-9012
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
We introduce the weak approach structure for an arbitrary locally convex approach space and generalize the results from [1] 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.
E-info
https://repository.uantwerpen.be/docman/iruaauth/161286/dcbba31d01d.pdf