Bulletin of the Belgian Mathematical Society - Simon Stevin

Lineability of functionals and renormings

F. J. García-Pacheco and D. Puglisi

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Abstract

We prove that every infinite dimensional Banach space can be equivalently renormed so that the set of norm attaining functionals contains an infinite dimensional vector subspace.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 25, Number 1 (2018), 141-147.

Dates
First available in Project Euclid: 11 April 2018

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1523412061

Digital Object Identifier
doi:10.36045/bbms/1523412061

Mathematical Reviews number (MathSciNet)
MR3784512

Zentralblatt MATH identifier
1353.46008

Keywords
lineability norm-attaining functionals renorming

Citation

García-Pacheco, F. J.; Puglisi, D. Lineability of functionals and renormings. Bull. Belg. Math. Soc. Simon Stevin 25 (2018), no. 1, 141--147. doi:10.36045/bbms/1523412061. https://projecteuclid.org/euclid.bbms/1523412061


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