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.
File in questo prodotto:
File Dimensione Formato  
A short note on the lineability of norm-attaining functionals in....pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Dimensione 439.75 kB
Formato Adobe PDF
439.75 kB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/241460
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
social impact