Denjoy-Wolff theorems for Hilbert’s and Thompson’s metric spaces
Date
2018Author
Lemmens, Bas
Wortel, Marten
Lins, Brian
Nussbaum, Roger
Metadata
Show full item recordAbstract
We study the dynamics of fixed point free mappings on the interior of a normal, closed cone in a Banach space that are nonexpansive with respect to Hilbert’s metric or Thompson’s metric. We establish several Denjoy-Wolff type theorems which confirm conjectures by Karlsson and Nussbaum for an important class of nonexpansive mappings. We also extend and put into a broader perspective results by Gaubert and Vigeral concerning the linear escape rate of such nonexpansive mappings
URI
http://hdl.handle.net/10394/26677https://doi.org/10.1007/s11854-018-0022-2
https://link.springer.com/article/10.1007/s11854-018-0022-2