Description of a class of locally pseudoconvex algebras which have an equivalent locally \(M\)-pseudoconvex topology
type: Item
instance of: scholarly article
title: Description of a class of locally pseudoconvex algebras which have an equivalent locally \(M\)-pseudoconvex topology
zbMATH Open document ID: 0932.46037
author: Mati Abel
author: Jorma Arhippainen
published in: Rocky Mountain Journal of Mathematics
publication date: 2000-02-28T00:00:00Z
full work available at URL: cont28-3.html
review text: For \(r \in ]0,1]\) consider an \(r\)-homogeneous seminorm \(p\) on a commutative topological algebra \(A\) and let \(\phi\) be an increasing function defined on \([0,\infty[\) to itself such that \(p(x^2) \leq \phi (p(x))\) for any \(x \in A\). It is proved that \(p\) is \(A\)-pseudoconvex and equivalent with a submultiplicative semi-norm. A description of a class of locally pseudoconvex algebras which have an equivalent locally \(m\)-pseudoconvex topology is also given.
Mathematics Subject Classification ID: 46H05
zbMATH DE Number: 1309852
zbMATH Keywords: locally pseudoconvex algebras
zbMATH Keywords: locally \(m\)-pseudoconvex topology
reviewed by: Cătălin Badea
MaRDI profile type: Publication
OpenAlex ID: W2046811244
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DOI: 10.1216/RMJM/1181071740
description: scientific article; zbMATH DE number 1309852