Derivation ranges
type: Item
instance of: scholarly article
title: Derivation ranges
zbMATH Open document ID: 0935.47029
DOI: 10.1016/S0024-3795(98)00018-4
author: Salah Mecheri
published in: Linear Algebra and its Applications
publication date: 2000-04-10T00:00:00Z
review text: Let \(\delta_A(X)= AX-XA\) be the inner derivation induced by \(A\) on the algebra of bounded operators on a complex separable infinite-dimensional Hilbert space. \textit{J. H. Anderson} [Bull. Am. Math. Soc. 79, 705-708 (1973; Zbl 0269.47021)] and \textit{J. G. Stampfli} [Ill. J. Math. 17, 518-524 (1973; Zbl 0271.47002)] studied the question whether \(I\in\overline{R(\delta_A)}\). Extending some results of Stampfli, the author obtains here sufficient conditions on \(A\) under which \(I\not\in \overline{R(\delta_A)}\).
Mathematics Subject Classification ID: 47B47
Mathematics Subject Classification ID: 46L57
zbMATH DE Number: 1355337
zbMATH Keywords: inner derivation
zbMATH Keywords: algebra of bounded operators
reviewed by: Khristo N. Boyadzhiev
MaRDI profile type: Publication
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full work available at URL: s0024-3795(98)00018-4
OpenAlex ID: W4206772853
description: scientific article; zbMATH DE number 1355337