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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

Citations (9)

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Read on this site (2)

Yiqiu Du & Yu Wang. (2012) Additivity of Jordan maps on triangular algebras. Linear and Multilinear Algebra 60:8, pages 933-940.
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Chi-Kwong Li & Peter Šemrl. (2002) Numerical Radius Isometries. Linear and Multilinear Algebra 50:4, pages 307-314.
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Articles from other publishers (7)

Fangyan Lu. (2011) Linear Maps Preserving Numerical Radius on Nest Algebras. Integral Equations and Operator Theory 69:4, pages 509-533.
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Chi-Kwong Li & Leiba Rodman. (2009) Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices. Linear Algebra and its Applications 430:7, pages 1739-1761.
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Jinchuan Hou & Qinghui Di. (2005) Maps preserving numerical ranges of operator products. Proceedings of the American Mathematical Society 134:5, pages 1435-1446.
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Chi-Kwong Li & Ahmed Ramzi Sourour. (2018) Linear Operators on Matrix Algebras that Preserve the Numerical Range, Numerical Radius or the States. Canadian Journal of Mathematics 56:1, pages 134-167.
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Wai-Leong Chooi & Ming-Huat Lim. (2003) Some linear preserver problems on block triangular matrix algebras. Linear Algebra and its Applications 370, pages 25-39.
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W.L. Chooi & M.H. Lim. (2002) Coherence invariant mappings on block triangular matrix spaces. Linear Algebra and its Applications 346:1-3, pages 199-238.
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Gorazd Lešnjak. (2002) Additive preservers of numerical range. Linear Algebra and its Applications 345:1-3, pages 235-253.
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