
Journal of Convex Analysis 13 (2006), No. 3, 489497 Copyright Heldermann Verlag 2006 Linear Structures in the Set of NormAttaining Functionals on a Banach Space Pradipta Bandyopadhyay StatMath Division, Indian Statistical Institute, 203 B. T. Road, Kolkata 700 108, India pradipta@isical.ac.in Gilles Godefroy Equipe d'Analyse, Université Paris VI, 4 Place Jussieu, 75252 Paris, France godefroy@math.jussieu.fr We show, among other results, that if the unit ball of the dual of a Banach space X is w*sequentially compact, the set of normattaining functionals contains a separable norm closed subspace M if and only if the dual M* of M is the canonical quotient of X. We provide examples of spaces which cannot be renormed in such a way that the set of normattaining functionals become a linear space. Keywords: Lineability, norm attaining functionals. MSC: 46B20 [ Fulltextpdf (267 KB)] for subscribers only. 