Normal Stucture Property in Generalized

In an earlier paper by M.A.Khamsi a constant βp was introduced in any Banach space with a Schauder basis, which is related to the normal structure property. We prove here an inequality for this constant in generalized James spaces and use it to investigate the normal structure property in these spaces. Then we discuss in the context of generalised James spaces a property introduced by D.Tingley