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

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.
Lineability, Norm attaining functionals.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/241460
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