C.M.S. • Fredericton, NB • June 2010
Meditations on Arens Multiplication
F.E.J. Linton • Wesleyan Univ. Math/CS Emeritus
The Argentinian Ignacio Zalduendo had a particularly simple
example [1991]
(though it relies on that fragment of the Axiom of Choice given by the Hahn-Banach Theorem):
start with the convolution algebra A = l1(Z),
multiplication being given by (a • b)n
= p, q:Σp+q=n
(ap·bq ).