On the denseness of the invertible group in uniform Fréchet algebras
type: Item
instance of: scholarly article
title: On the denseness of the invertible group in uniform Fréchet algebras
zbMATH Open document ID: 1241.46027
author: M. Najafi Tavani
author: Taher Ghasemi Honary
published in: Bulletin of the Iranian Mathematical Society
publication date: 2011-11-22T00:00:00Z
review text: The authors extend the Arens-Royden theorem to commutative unital Fréchet algebras, provided their maximal ideal spaces satisfy certain conditions concerning their connectedeness. They deal also with the question when a uniform Fréchet algebra has or does not have a dense group of invertible elements.
reviewed by: Wiesław Tadeusz Żelazko
Mathematics Subject Classification ID: 46J05
Mathematics Subject Classification ID: 46J10
Mathematics Subject Classification ID: 46H05
zbMATH DE Number: 5976605
zbMATH Keywords: uniform Fréchet algebra
zbMATH Keywords: hemicompact space
zbMATH Keywords: \(k\)-space
zbMATH Keywords: projective limit
zbMATH Keywords: invertible group
zbMATH Keywords: topological dimension
zbMATH Keywords: Arens-Royden theorem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5976605