26 citations · 93 across the 25 of their papers we have counts for
5 papers · 1 filter
Hahn-Banach for metric functionals and horofunctions
Anders Karlsson
It is observed that a natural analog of the Hahn-Banach theorem is valid for metric functionals but fails for horofunctions. Several statements of the existence of invariant metric…
Elements of a metric spectral theory
Anders Karlsson
This paper discusses a general method for spectral type theorems using metric spaces instead of vector spaces. Advantages of this approach are that it applies to genuinely non-line…
Dynamics of Hilbert nonexpansive maps
Anders Karlsson
In his work on the foundations of geometry, Hilbert observed that a formula which appeared in works by Beltrami, Cayley, and Klein, gives rise to a complete metric on any bounded c…
On the dynamics of isometries
Anders Karlsson
We provide an analysis of the dynamics of isometries and semicontractions of metric spaces. Certain subsets of the boundary at infinity play a fundamental role and are identified c…
Hilbert metrics and Minkowski norms
Thomas Foertsch, Anders Karlsson
It is shown that the Hilbert geometry associated to a bounded convex domain is isometric to a normed vector space if and only if…