Abstract
We show that not all infinite dimensional closed subspaces of \({\ell_\infty}\) satisfy that the set of their norm-attaining functionals is lineable and prove that any closed subspace of \({\ell_\infty}\) containing c 0 has the property that the set of their norm-attaining functionals is lineable.
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Garcia-Pacheco, F.J., Puglisi, D. A short note on the lineability of norm-attaining functionals in subspaces of \({\ell_{\infty}}\) . Arch. Math. 105, 461–465 (2015). https://doi.org/10.1007/s00013-015-0824-8
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DOI: https://doi.org/10.1007/s00013-015-0824-8