Common fixed points of commuting holomorphic mappings in the product of \(n\) Hilbert balls
type: Item
instance of: scholarly article
title: Common fixed points of commuting holomorphic mappings in the product of \(n\) Hilbert balls
zbMATH Open document ID: 0774.47034
author: Itai Shafrir
published in: Michigan Mathematical Journal
publication date: 1993-01-16T00:00:00Z
review text: This article deals with holomorphic mappings in the product \(B^ n\) of \(n\) Hilbert balls that are equipped with an \(\ell_ \infty\)-variant of the hyperbolic metric. The main result is the existence of a common fixed point for a family of commuting continuous on \(\overline {B^ n}\) mappings of \(B^ n\) which are holomorphic in \(B^ n\).
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 46G20
zbMATH DE Number: 93895
zbMATH Keywords: holomorphic mappings
zbMATH Keywords: hyperbolic metric
zbMATH Keywords: common fixed point
reviewed by: Peter P. Zabreĭko
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029004523
OpenAlex ID: W2031866952
DOI: 10.1307/MMJ/1029004523
description: scientific article; zbMATH DE number 93895