Invertibility in Fréchet algebras
type: Item
instance of: scholarly article
title: Invertibility in Fréchet algebras
zbMATH Open document ID: 1108.46035
author: Seán Dineen
published in: Mathematische Annalen
publication date: 2006-03-21T00:00:00Z
review text: The main result of the paper states a characterization of the joint left spectrum over a Banach space \(X\) for tensor products of unital Fréchet algebras \({\mathcal A,B}\). Among other applications, the results are used to generalize Allan's theorem on invertibility of holomorphic functions with values in a Banach algebra to the case of infinite-dimensional domains and to an infinite number of functions.
reviewed by: Heinz Junek
Mathematics Subject Classification ID: 46G25
Mathematics Subject Classification ID: 46G20
Mathematics Subject Classification ID: 46H05
zbMATH DE Number: 5013667
zbMATH Keywords: Fréchet algebras
zbMATH Keywords: left invertible
zbMATH Keywords: tensor products
MaRDI profile type: Publication
full work available at URL: s00208-005-0725-4
OpenAlex ID: W2026472062
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DOI: 10.1007/S00208-005-0725-4
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description: scientific article; zbMATH DE number 5013667