Isomorphically Expansive Mappings in l2

We show that for any renorming |·| of ℓ2, the well known fixed point free mappings by Kakutani, Baillon and others are not nonexpansive.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1997-09, Vol.125 (9), p.2633-2636
Main Authors: García-Falset, J., Jiménez-Melado, A., Lloréns-Fuster, E.
Format: Article
Language:English
Subjects:
Banach space
Hilbert spaces
Integers
Mathematical theorems
Unit ball
Online Access:Get full text
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Description
Summary:We show that for any renorming |·| of ℓ2, the well known fixed point free mappings by Kakutani, Baillon and others are not nonexpansive.
ISSN:0002-9939
1088-6826
DOI:10.1090/s0002-9939-97-03845-8