On the extreme non‐Arens regularity of Banach algebras
On the extreme non‐Arens regularity of Banach algebras
As is well-known, on an Arens regular Banach algebra all continuous functionals are weakly almost periodic. In this paper, we show that ℓ 1 -bases which approximate upper and lower triangles of products of elements in the algebra produce large sets of functionals that are not weakly almost periodic. This …