A Short Proof that Some Mappings of the Unit Ball of ℓ2 Are Never Nonexpansive

DOI10.1080/00029890.2020.1704168zbMath1443.47049OpenAlexW3014323014MaRDI QIDQ4960442

Enrique Llorens-Fuster, Jesús Ferrer

Publication date: 16 April 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2020.1704168

Mathematics Subject Classification ID

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

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Cites Work

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• Lower bounds for the Lipschitz constants of some classical fixed point free maps
• There is an equivalent norm on \(\ell_1\) that has the fixed point property
• The Fixed Point Property for Non-Expansive Mappings, II
• The Fixed Point Property for Non-Expansive Mappings
• Isomorphically expansive mappings in $l_2$
• Uniformly Lipschitzian Families of Transformations in Banach Spaces
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Topological properties of the unit sphere of a Hilbert space

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