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Title: Three observations on the determinantal range
Authors: Bebiano, N. 
Soares, G. 
Keywords: Keywords; Determinantal range; Cross ratio; Linear preserver
Issue Date: 2005
Citation: Linear Algebra and its Applications. 401:(2005) 211-220
Abstract: Let A, C [set membership, variant] Mn, the algebra of n × n complex matrices. The set of complex numbersis the C-determinantal range of A. In this note, it is proved that [Delta]C(A) is an elliptical disc for A, C [set membership, variant] M2. A necessary and sufficient condition for [Delta]C(A) to be a line segment is given when A and C are normal matrices with pairwise distinct eigenvalues. The linear operators L that satisfy the linear preserver property [Delta]C(A) = [Delta]C(L(A)), for all A, C [set membership, variant] Mn, are characterized.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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