%0 Journal Article
%A Bombal Gordón, Fernando
%T The Arens product in locally convex algebras. (Spanish: El Producto de Arens en álgebras localmente convexas).
%D 1976
%@ 0034-0596
%U https://hdl.handle.net/20.500.14352/64742
%X The author considers locally convex algebras. He defines an Arens product for such algebras and applies it to obtain various generalizations of results known for Banach algebras. He gives a necessary and sufficient condition for the existence of an approximate identity and, for a locally convex algebra with an approximate right identity, he gives a necessary and sufficient condition for the existence of a right identity. He shows that an element x≠0 is a right topological divisor of zero if and only if it is a right divisor of zero when considered as an element of the bidual space.
%~