Schur product of matrices and numerical radius (range) preserving maps |
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| Authors: | Chi-Kwong Li Edward Poon |
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| Institution: | a Department of Mathematics, College of William & Mary, Williamsburg, VA 23187, United States
b Department of Mathematics, Embry-Riddle Aeronautical University, Prescott, AZ 86301, United States |
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| Abstract: | Let F(A) be the numerical range or the numerical radius of a square matrix A. Denote by A ° B the Schur product of two matrices A and B. Characterizations are given for mappings on square matrices satisfying F(A ° B) = F(?(A) ° ?(B)) for all matrices A and B. Analogous results are obtained for mappings on Hermitian matrices. |
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| Keywords: | 15A04 15A18 15A60 |
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