Hahn–Banach extension of multilinear forms and summability

The aim of this paper is to investigate close relations between the validity of Hahn–Banach extension theorems for multilinear forms on Banach spaces and summability properties of sequences from these spaces. A case of particular importance occurs when we consider Banach spaces which have the property that every bilinear form extends to any superspace. © 2007 Elsevier Inc. All rights reserved.