On Lie algebras of operators
type: Item
instance of: scholarly article
title: On Lie algebras of operators
zbMATH Open document ID: 0694.46041
DOI: 10.1016/0022-1236(89)90056-6
author: N. E. Zubov
published in: Journal of Functional Analysis
publication date: 1989-01-01T00:00:00Z
review text: This paper considers Lie algebras of operators on Banach spaces, but the questions were motivated by questions about Lie groups acting on \(C^*\)- algebras. The paper gives a structure theorem for perturbations of abelian Lie algebras. In Section 4 these results are applied to examples of groups acting on \(C^*\)-algebras.
reviewed by: John W. Bunce
Mathematics Subject Classification ID: 46L40
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 46L70
zbMATH DE Number: 4136780
zbMATH Keywords: Lie algebras of operators on Banach spaces
zbMATH Keywords: Lie groups acting on \(C^*\)- algebras
zbMATH Keywords: structure theorem for perturbations of abelian Lie algebras
MaRDI profile type: Publication
full work available at URL: 0022-1236(89)90056-6
OpenAlex ID: W1969092455
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description: scientific article; zbMATH DE number 4136780