Article ID Journal Published Year Pages File Type
4603442 Linear Algebra and its Applications 2007 17 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory