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Locally convex approach spaces: the right quantitative framework for Functional Analysis?
by
Stijn Verwulgen
University of Antwerp, RUCA
Coauthors: R. Lowen, University of Antwerp, RUCA, M.Sioen, University of Antwerp, RUCA
We introduce the category of locally convex approach spaces which naturally arises if one wants to make numerified categorical constructions out of Banach spaces. We also indicate intresting relations with Pumpluen's totally convex spaces by showing that they also arise as Eilenberg-Moore algebra's for duality functors in our setting.
Date received: March 6, 2001
Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafw-61.