Comments on the cosmic convergence of nonexpansive maps
Aug 23, 2021·
Armando W. Gutiérrez
Equal contribution
,Anders Karlsson
Equal contribution
·
0 min readAbstract
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 \(\ell_1\). We also point out some inaccurate assertions appearing in the literature on this topic.
Type
Publication
Journal of Fixed Point Theory and Applications, 23(4)
Status
Peer-reviewed
Open access
Funding
Vilho, Yrjö and Kalle Väisälä Foundation
Swiss National Science Foundation
Authors
Research Scientist
I’m a Researcher in Mathematics. I’ve carried out research at Aalto University, Inria Saclay, and VTT. I’ve made contributions to metric geometry, functional analysis and optimization. I’m passionate about quantum computing, risk analysis and optimization algorithms.