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Structure of the Set of Norm-attaining Functionals on Strictly Convex Spaces

Published online by Cambridge University Press:  20 November 2018

Ondřej Kurka
Ondřej Kurka*
Affiliation:
Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Prague 8, Czech Republice-mail: kurka.ondrej@seznam.cz
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Abstract

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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 $X$.

Keywords

46B2054H0546B10separable non-reflexive spaceset of norm-attaining functionalsstrictly convex normBorel class
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 54 , Issue 2 , 01 June 2011 , pp. 302 - 310
Copyright
Copyright © Canadian Mathematical Society 2011

References

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