Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4603442 | Linear Algebra and its Applications | 2007 | 17 Pages |
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(ϕ(A) ∘ ϕ(B)) for all matrices A and B. Analogous results are obtained for mappings on Hermitian matrices.
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Physical Sciences and Engineering
Mathematics
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