The weak Banach-Saks property in \(C^*\)-algebras
It is shown that a \(C^*\)-algebra \({\mathbf A}\) has the weak Banach-Saks property if and only if it is type I and the \(k\)th-derivative of its spectrum \(\widehat{{\mathbf A}}\) is empty for some \(k\). This is equivalent to the existence of a finite chain \(J_ 1\subset J_ 2\subset\cdots\subset J_ n\subset {\mathbf A}\) of closed ideals such that \(J_ 1, J_ 2/J_ 1,\dots, {\mathbf A}/J_ n\) are all dual \(C^*\)- algebras.
scientific article; zbMATH DE number 599759