The almost fixed point property is not invariant under isometric renormings

DOI10.1007/s13398-021-01016-4zbMath1477.46015OpenAlexW3136667833MaRDI QIDQ1979350

J. Villada Bedoya

Publication date: 2 September 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01016-4

zbMATH Keywords

Banach-Mazur distancealmost fixed point propertynon-reflexive spacecomplemented isomorphic copy of \(c_0\) and \(\ell_1\)isometric renormingsset-stability

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The approximate fixed point property in Banach and hyperbolic spaces
• Reflexivity in Banach lattices
• On Banach space properties that are not invariant under the Banach-Mazur distance 1
• Reflexivity is equivalent to stability of the almost fixed point property
• Directionally bounded sets in \(c_0\) with equivalent norms
• Stability constants of the weak\(^*\) fixed point property for the space \(\ell_{1}\)
• Complemented copies of \(\ell _1\) in Banach spaces with an unconditional basis
• The failure of the fixed point property for unbounded sets in 𝑐₀
• Weak$^*$ fixed point property in $\ell _1$ and polyhedrality in Lindenstrauss spaces
• The Almost Fixed Point Property for Nonexpansive Mappings
• An Introduction to Banach Space Theory
• Reflexivity and approximate fixed points
• On subspaces of Orlicz sequences spaces

This page was built for publication: The almost fixed point property is not invariant under isometric renormings