Isometers in the Cartesian product of n unit open Hilbert balls with hyperbolic metric
type: Item
instance of: scholarly article
title: Isometers in the Cartesian product of n unit open Hilbert balls with hyperbolic metric
zbMATH Open document ID: 0676.46016
DOI: 10.1007/BF01766157
author: Tadeusz Kuczumow
author: William O. Ray
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1988-01-01T00:00:00Z
Mathematics Subject Classification ID: 46C99
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 4107446
zbMATH Keywords: characterization of isometries in the Cartesian products of n unit Hilbert balls with hyperbolic metrics
zbMATH Keywords: fixed point sets
MaRDI profile type: Publication
cites work: Iterating Analytic Self-Maps of Discs
cites work: On conditions under which isometries have bounded orbits
cites work: Iteration for holomorphic maps of the open unit ball and the generalized upper half-plane of \({\mathbb{C}}^ n\)
cites work: Q5604772
cites work: Q3892778
cites work: Q3949575
cites work: Fixed points and invariant domains of holomorphic mappings of the Hilbert ball
cites work: Q3322631
cites work: Uniform convexity of the hyperbolic metric and fixed points of holomorphic mappings in the Hilbert ball
cites work: Automorphism Groups of Bounded Domains in Banach Spaces
cites work: The non-euclidean Pythagorean theorem with respect to the Bergman metric
cites work: Geometry on the Unit Ball of a Complex Hilbert Space
cites work: Q4196902
cites work: Q4045220
cites work: SCHWARZ'S LEMMA IN NORMED LINEAR SPACES
cites work: Biholomorphic maps in Hilbert space have a fixed point
cites work: Iteration of Holomorphic Maps of the Unit Ball Into Itself
cites work: Nonexpansive retracts and fixed points of nonexpansive mappings in the Cartesian product of n Hilbert balls
cites work: Q3793238
cites work: Fixed Points of Holomorphic Mappings in the Cartesian Product of n Unit Hilbert Balls
cites work: Q3825597
cites work: Iterates of holomorphic self-maps of the unit ball in \(C^ n\)
cites work: On symplectic mappings of contraction operators
cites work: Averaged mappings in the Hilbert ball
cites work: Q3958740
cites work: Iterates of Holomorphic Self-Maps of the Unit Ball in Hilbert Space
cites work: Common fixed points of commuting holomorphic maps of the hyperball
full work available at URL: https://doi.org/10.1007/bf01766157
OpenAlex ID: W2090234400
description: scientific article; zbMATH DE number 4107446