Relative spectra in complete lmc-algebras with applications
type: Item
instance of: scholarly article
title: Relative spectra in complete lmc-algebras with applications
zbMATH Open document ID: 0833.46033
author: Michael E. Boardman
published in: Illinois Journal of Mathematics
publication date: 1996-03-20T00:00:00Z
review text: Let \(A\) be a unital complete lmc (locally \(m\)-convex) algebra, the topology of which is defined by a separating directed family of algebra seminorms. Let \(D\) be a Banach algebra continuously embedded into the bounded part of \(A\). One of the main topics is to study when an element of \(A\) attains an inverse in \(D\). Several properties of certain kinds of operators are obtained. It should be noted that G. Allen is in fact G. R. Allan.
Mathematics Subject Classification ID: 46H05
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47C05
Mathematics Subject Classification ID: 47L10
zbMATH DE Number: 711028
zbMATH Keywords: topological algebras
zbMATH Keywords: spectrum
zbMATH Keywords: locally convex topology
zbMATH Keywords: Banach algebras
zbMATH Keywords: linear operators
zbMATH Keywords: complete lmc (locally \(m\)-convex) algebra
zbMATH Keywords: inverse in \(D\)
reviewed by: Cătălin Badea
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 711028