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https://hdl.handle.net/10316/4629
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. | URI: | https://hdl.handle.net/10316/4629 | DOI: | 10.1016/j.laa.2004.06.006 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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