Decomposability of finite rank operators in Lie ideals of nest algebras
type: Item
instance of: scholarly article
title: Decomposability of finite rank operators in Lie ideals of nest algebras
zbMATH Open document ID: 1322.47067
author: Chaoqun Chen
author: Fangyan Lu
published in: Integral Equations and Operator Theory
publication date: 2015-03-23T00:00:00Z
review text: In this paper the authors investigate the decomposability of Lie ideals in a nest algebra. They establish a sufficient and necessary condition on the nest such that each closed Lie ideal in the associated nest algebra is decomposable. This extends the result in [\textit{L. Oliveira}, Houston J. Math. 37, No. 2, 519--536 (2011; Zbl 1232.47056)].
reviewed by: Ömer Gök
Mathematics Subject Classification ID: 47L35
zbMATH DE Number: 6418622
zbMATH Keywords: decomposability
zbMATH Keywords: Lie ideal
zbMATH Keywords: nest algebra
zbMATH Keywords: rank one operator
MaRDI profile type: Publication
full work available at URL: s00020-014-2171-8
OpenAlex ID: W1991345766
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DOI: 10.1007/S00020-014-2171-8
description: scientific article; zbMATH DE number 6418622