On characterizations of the image of Gelfand transform and BED property for vector valued \(\ell^p\)-algebras (Q2674308)

The paper deals with the properties of the function algebra \(\ell^p(X, A)\), where \(p\in[1, \infty)\), \(X\) is a non-empty set and \(A\) is a commutative semisimple Banach algebra. The authors show that \(\ell^p(X, A)\) is regular/Tauberian/a BED algebra if and only if \(A\) is so. At the end of the paper, some examples are stated.