Published online by Cambridge University Press: 20 November 2018
This note is about the interplay between two classes of radical Banach algebras, and we begin by describing the algebras in question.
A weight sequence is a positive sequence w = (wn ) defined on Z + (the non-negative integers) and satisfying w 0 = 1 and wm+n ≦ wmwn for all m and n in Z +. For such a sequence w, the Banach space
is a Banach algebra with respect to the convolution product, defined by