Abstract
Let \({\mathcal {M}}_{n}\) be the algebra of \(n\times n\) complex matrices. Complete descriptions are given of the maps on \({\mathcal {M}}_{n}\) leaving invariant some unitary similarity invariant functional values of the product of matrices such as the numerical radius, the pseudo spectral radius, or the condition spectral radius.
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The authors are greatly indebted to the referee for a very thorough reading and many valuable suggestions which improved the initial draft.
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This work was partially supported by a Grant from MIU-SRA, Morocco.
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Bendaoud, M., Benyouness, A. Some unitary similarity invariant functional values preservers of matrix products. Acta Sci. Math. (Szeged) (2024). https://doi.org/10.1007/s44146-024-00134-w
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DOI: https://doi.org/10.1007/s44146-024-00134-w