Article ID Journal Published Year Pages File Type
840806 Nonlinear Analysis: Theory, Methods & Applications 2015 5 Pages PDF
Abstract

We prove that, for any β>1β>1, the space Eβ=(l2,‖⋅‖β)Eβ=(l2,‖⋅‖β) where ‖⋅‖β=max{‖⋅‖2,β‖⋅‖∞}‖⋅‖β=max{‖⋅‖2,β‖⋅‖∞} is PP-convex. It is known that, for β≥2, EβEβ lacks normal structure.

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