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Linear and Multilinear Algebra Volume 48, 2001 - Issue 4
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Original Articles

Linear operators preserving the numerical range (radius) on triangular matrices

Chi-Kwong Li Department of Mathematics, College of William and Mary, P.O. Box 8795, Williamsburg, VA, 23187-8795, USACorrespondence[email protected]
,
Peter Šemrl Department of Mathematics, University of Ljubljana, Jadranska 19, Ljubljana, SI-1000, Slovenia
&
Graca Soares Departnemt of Mathematics, University of Trás-os-Montes and Alto Douro, Vila Real, 5000, Portugal
Pages 281-292 | Received 27 Jul 1999, Published online: 31 Mar 2008
 
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Abstract

We characterize those linear operators on triangular or diagonal matrices preserving the numerical range or radius.

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