Abstract
Let I be any index set. We consider the Banach algebra \({\mathbb {C} e+ \ell^2(I)}\) with the Hadamard product, and prove that its Bass and topological stable ranks are both equal to 1. We also characterize divisors, maximal ideals, closed ideals and closed principal ideals. For \({I=\mathbb {N}}\) we also characterize all prime z-ideals in this Banach algebra.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have