Functional analysis on normed spaces : the Banach space comparisonFunctional analysis on normed spaces : the Banach space comparison
Faculty of Sciences. Mathematics and Computer Science
Faculty of Design Sciences
Theory and applications of categories. - -
18(2007):3, p. 102-117
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.