The theorems of Glicksberg and Hurwitz for holomorphic maps in complex Banach spaces
type: Item
instance of: scholarly article
title: The theorems of Glicksberg and Hurwitz for holomorphic maps in complex Banach spaces
zbMATH Open document ID: 0794.46039
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 1993-08-31T00:00:00Z
full work available at URL: https://eudml.org/doc/244156
review text: The aim of this paper should be a generalization of Glicksberg's and Hurwitz's theorems concerning the number of zeros of holomorphic maps to infinite-dimensional Banach spaces. Unfortunately, the assumptions of Theorem 2.2 (Hurwitz Theorem for Banach spaces) come true only in finite- dimensional Banach spaces.
Mathematics Subject Classification ID: 46G20
Mathematics Subject Classification ID: 32A10
zbMATH DE Number: 404339
zbMATH Keywords: local uniform convergence
zbMATH Keywords: compact open topology
zbMATH Keywords: Hurwitz Theorem for Banach spaces
zbMATH Keywords: number of zeros of holomorphic maps to infinite- dimensional Banach spaces
author: Kazimierz Włodarczyk
reviewed by: Hans-Andreas Braunß
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 404339