A Julia--Carathéodory theorem for hyperbolically monotone mappings in the Hilbert ball

2006/08/04 by Elin, Mark, Reich, Simeon, Shoikhet, David
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0608128

Abstract

We establish a Julia--Carathéodory theorem and a boundary Schwarz--Wolff lemma for hyperbolically monotone mappings in the open unit ball of a complex Hilbert space

Related

• An improved Julia-Caratheodory theorem for Schur-Agler mappings of the unit ball
• The Julia-Wolff-Caratheodory theorem in polydisks
• The Caratheodory-Cartan-Kaup-Wu theorem on an infinite dimensional Hilbert space
• Group of isometries of the Hilbert ball equipped with the Caratheodory metric
• Characterization of the Hilbert ball by its Automorphisms