4 papers
Lattice-ordered algebras admitting a polynomial growth continuous function calculus
David Muñoz-Lahoz
We characterize the Archimedean lattice-ordered algebras with identity that admit a polynomial growth continuous function calculus. More precisely, for an -tuple $\mathbf{x}=(x_…
Free Banach -algebras
David Muñoz-Lahoz, Pedro Tradacete
We construct and analyze the free Banach -algebra generated by a Banach space , extending recent developments on free Banach lattices to the…
-algebra products on AL and AM-spaces
David Muñoz-Lahoz
We characterize all -algebra products on AM-spaces by constructing a canonical AM-space associated to each AM-space , such that the -algebra products on correspo…
Banach lattice AM-algebras
David Muñoz-Lahoz, Pedro Tradacete
An analogue of Kakutani's representation theorem for Banach lattice algebras is provided. We characterize Banach lattice algebras that embed as a closed sublattice-algebra of $C(K)…