Title
Functional analysis on normed spaces : the Banach space comparison Functional analysis on normed spaces : the Banach space comparison
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Faculty of Design Sciences
Publication type
article
Publication
Subject
Mathematics
Source (journal)
Theory and applications of categories. - -
Volume/pages
18(2007) :3 , p. 102-117
ISSN
1201-561X
Carrier
E
Target language
English (eng)
Abstract
It is the aim of this paper to compute the category of Eilenberg-Moore algebras for the monad arising from the dual unit-ball functor on the category of (semi)normed spaces. We show that this gives rise to a stronger algebraic structure than the totally convex one obtained from the closed unit ball functor on the category of Banach spaces.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/cdbabf/4a33a2e5.pdf