Geodesic
Functional analysis on normed spaces: the Banach space comparison
Theory and applications of categories, Tome 18 (2007), pp. 102-117

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

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.

Classification : 46B04, 46M99, 52A01
Keywords: Banach space, Monad, Totally convex module, Duality 
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     author = {M. Sioen and S. Verwulgen},
     title = {Functional analysis on normed spaces: the  {Banach} space comparison},
     journal = {Theory and applications of categories},
     pages = {102--117},
     publisher = {mathdoc},
     volume = {18},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2007_18_a2/}
}
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M. Sioen; S. Verwulgen. Functional analysis on normed spaces: the  Banach space comparison. Theory and applications of categories, Tome 18 (2007), pp. 102-117. http://geodesic.mathdoc.fr/item/TAC_2007_18_a2/