Small eigenvalue variation and real rank zero
type: Item
instance of: scholarly article
title: Small eigenvalue variation and real rank zero
zbMATH Open document ID: 0865.46039
author: Ola Bratteli
author: George A. Elliott
published in: Pacific Journal of Mathematics
publication date: 1997-06-15T00:00:00Z
review text: A necessary and sufficient condition, in terms of asymptotic properties of the sequence, is given for the inductive limit of a sequence of finite direct sums of matrix algebras over commutative \(C^*\)-algebras to have real rank zero (i.e., for each selfadjoint element to be approximable by one with finite spectrum).
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 46M40
zbMATH DE Number: 950177
zbMATH Keywords: asymptotic properties
zbMATH Keywords: inductive limit of a sequence of finite direct sums of matrix algebras over commutative \(C^*\)-algebras
zbMATH Keywords: real rank zero
MaRDI profile type: Publication
full work available at URL: pjm.1996.175.47
OpenAlex ID: W1520763270
DOI: 10.2140/PJM.1996.175.47
description: scientific article; zbMATH DE number 950177