Geodesic
Structure of the Set of Norm-attaining Functionals on Strictly Convex Spaces
Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 302-310

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DOI

Let $X$ be a separable non-reflexive Banach space. We show that there is no Borel class which contains the set of norm-attaining functionals for every strictly convex renorming of $X$ .
DOI : 10.4153/CMB-2011-004-2
Mots-clés : 46B20, 54H05, 46B10, separable non-reflexive space, set of norm-attaining functionals, strictly convex norm, Borel class 
Kurka, Ondřej. Structure of the Set of Norm-attaining Functionals on Strictly Convex Spaces. Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 302-310. doi: 10.4153/CMB-2011-004-2
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     title = {Structure of the {Set} of {Norm-attaining} {Functionals} on {Strictly} {Convex} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {302--310},
     year = {2011},
     volume = {54},
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     doi = {10.4153/CMB-2011-004-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-004-2/}
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