B. Lemmens (Kent)

will speak on

The Denjoy-Wolff theorem for Hilbert geometries

Time: 3:00PM
Date: Tue 21st November 2017
Location: SCN 125 [map]

Abstract: The classical Denjoy-Wolff theorem asserts that all orbits of a fixed point
free holomorphic self-mapping of the open unit disc in the complex plane,
converge to a unique point in the boundary of the disc. Since the inception
of the theorem by Denjoy and Wolff in the nineteen-twenties a variety of
extensions have been obtained. In this talk I will discuss some extensions
of the Denjoy-Wolff theorem to certain real metric spaces,
namely Hilbert geometries. Hilbert geometries are a natural generalisation
of Klein's model of the real hyperbolic space, and play in important role
in the analysis of linear, and nonlinear, operators on cones.

(This talk is part of the Analysis series.)

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