We show that the symbol of a bounded composition operator on Wiener algebra Dirichlet series does not need to belong this algebra. Our example even gives an absolutely summing (hence compact) operator.

Several results in the theory of (p, £?)-summing operators are improved by a unified but elementary tensor product concept. Introduction Since the pioneering work of Grothendieck in Linear Functional Analysis there is an extensive literature dealing with operators in Lp-spaces. Still the most important result in this direction is Grothendieck's integral characterization [9] of operators from l\...