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A short note on the lineability of norm-attaining functionals in subspaces of \({\ell_{\infty}}\)

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Publication:895806
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DOI10.1007/S00013-015-0824-8zbMath1336.46013OpenAlexW1962202731MaRDI QIDQ895806

Francisco Javier García-Pacheco, Daniele Puglisi

Publication date: 4 December 2015

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-015-0824-8


zbMATH Keywords

lineabilitynorm attaining functionals


Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04)


Related Items (2)

Renormings concerning the lineability of the norm-attaining functionals ⋮ Lineability of the set of supporting vectors




Cites Work

  • Banach spaces with no proximinal subspaces of codimension 2
  • Functionals that do not attain their norm
  • Lineability of functionals and operators
  • Lineability and spaceability of sets of functions on $\mathbb {R}$




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