Erratum to: Strong extensions for q-summing operators acting in p-convex Banach function spaces for 1≤p≤q Weak* compactness of the closed unit ball of a Köthe dual space

Abstract

Let X be a saturated Banach function space and denote by X′ its Köthe dual. In the paper (Delgado and Sánchez Pérez in Positivity 20:999–1014, 2016) referenced in the title it is implicitly used that the closed unit ball BX′ of X′ is compact for the topology σ(X′,X) on X′ defined by the elements of X. This fact could be not true in general if X is not σ-order continuous.