Preservers of condition spectra and pseudo spectra of Hermitian matrix Jordan products
Mohamed Bendaoud, A. Benyouness, A. Cade · Operators and Matrices · 2023
Let H n be the real space of nn complex Hermitian matrices. Complete descriptions are given of the maps of H n leaving invariant the pseudo spectral radius or the condition spectral radius of Jordan product of matrices. As application, maps on H n that preserve the condition spectrum of Jordan product of matrices are classified.