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.
Keywords: Banach space, Monad, Totally convex module, Duality
2000 MSC: 46B04, 46M99, 52A01
Theory and Applications of Categories,
Vol. 18, 2007,
No. 3, pp 102-117.
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