Geodesic
Linear Structures in the Set of Norm-Attaining Functionals on a Banach Space
Journal of convex analysis, Tome 13 (2006) no. 3, pp. 489-497
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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 norm-attaining 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 norm-attaining functionals become a linear space.
Classification : 46B20
Mots-clés : Lineability, norm attaining functionals 
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     author = {P. Bandyopadhyay and G. Godefroy},
     title = {Linear {Structures} in the {Set} of {Norm-Attaining} {Functionals} on a {Banach} {Space}},
     journal = {Journal of convex analysis},
     pages = {489--497},
     year = {2006},
     volume = {13},
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     url = {http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a2/}
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P. Bandyopadhyay; G. Godefroy. Linear Structures in the Set of Norm-Attaining Functionals on a Banach Space. Journal of convex analysis, Tome 13 (2006) no. 3, pp. 489-497. http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a2/