A generalization of a renorming theorem by Lin and a new nonreflexive space with the fixed point property which is nonisomorphic to \(l_1\)

DOI10.1016/j.jmaa.2013.03.062zbMath1327.46018OpenAlexW2003791328MaRDI QIDQ2257192

Fernando Núñez-Medina, Berta Gamboa De Buen

Publication date: 24 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.03.062

zbMATH Keywords

nonexpansive mappingSchauder basisfixed point propertyrenorming

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items

Unnamed Item ⋮ Unnamed Item ⋮ About some families of nonexpansive mappings with respect to renorming ⋮ Fixed point properties for Lorentz sequence spaces \(\ell_{\rho,\infty}^0\) and \(\ell_{\rho,1}\)

Cites Work

• Unnamed Item
• Banach spaces with a basis that are hereditarily asymptotically isometric to \(l_1\) and the fixed point property
• Failure of the FPP inside an asymptotically isometric-free copy of \(c_{0}\)
• Renorming of \(\ell _{1}\) and the fixed point property
• There is an equivalent norm on \(\ell_1\) that has the fixed point property
• A 3-space problem related to the fixed point property
• Stability of weak normal structure in James quasi reflexive space

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