Linear Operators on Matrix Algebras that Preserve the Numerical Range, Numerical Radius or the States

DOI10.4153/CJM-2004-007-4zbMath1051.15020OpenAlexW1998279580MaRDI QIDQ4464254

Chi-Kwong Li, Ahmed Ramzi Sourour

Publication date: 27 May 2004

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2004-007-4

zbMATH Keywords

numerical rangeisometrylinear preservernumerical radius

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Linear transformations, semilinear transformations (15A04)

Related Items (4)

On numerical ranges and roots. ⋮ The correlation numerical range of a matrix and Connes' embedding problem ⋮ Isometries of a generalized numerical radius ⋮ Numerical index of some polyhedral norms on the plane

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