article · Linear and Multilinear Algebra
Let Mn be the set of n×n complex matrices, and for ε>0 and A∈Mn, let σε(A) denote the ε−pseudo spectrum of A. Maps Φ on Mn which preserve the skew Lie product of matrices in a sense that σε(Φ(A)Φ(B)−Φ(B)Φ(A)∗)=σε(AB−BA∗)(A,B∈Mn)are characterized, with no surjectivity assumption on them. Analogous description for the skew product on matrices is also noted.
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DOI: 10.1080/03081087.2023.2211719
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