Comments on the cosmic convergence of nonexpansive maps

DOI10.1007/S11784-021-00896-8arXiv2103.14499MaRDI QIDQ6363836

Anders Karlsson, Armando W. Gutiérrez

Publication date: 26 March 2021

Abstract: This note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant subspace problem and prove a new result for nonexpansive maps of $el{l}^1$. We also point out some inaccurate assertions appearing in the literature on this topic.

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Invariant subspaces of linear operators (47A15)

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