|
Title
|
|
|
|
Functional analysis on normed spaces : the Banach space comparison
| |
|
Author
|
|
|
|
| |
|
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. |
| |
|
Language
|
|
|
|
English
| |
|
Source (journal)
|
|
|
|
Theory and applications of categories. - -
| |
|
Publication
|
|
|
|
2007
| |
|
ISSN
|
|
|
|
1201-561X
| |
|
Volume/pages
|
|
|
|
18
:3
(2007)
, p. 102-117
| |
|
Full text (open access)
|
|
|
|
| |
|