We show that not all infinite dimensional closed subspaces of ∞ satisfy that the set of their norm-attaining functionals is lineable and prove that any closed subspace of ∞ containing c0 has the property that the set of their norm-attaining functionals is lineable.
A short note on the lineability of norm-attaining functionals in subspaces of $ell_infty$
PUGLISI, DANIELE
2015-01-01
Abstract
We show that not all infinite dimensional closed subspaces of ∞ satisfy that the set of their norm-attaining functionals is lineable and prove that any closed subspace of ∞ containing c0 has the property that the set of their norm-attaining functionals is lineable.File in questo prodotto:
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