Continuous commutativity and spectrum preservers on normal matrices are conjugations or transpose conjugations, while on semisimple and general matrices they admit more exotic forms determined by the local regularity of complex conjugation near coincident eigenvalues.
Continuous spectrum-shrinking maps and applications to preserver problems, 2025.http://arxiv.org/abs/2501.06840v2
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.SP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Eigenvalue collision and exotic preservers on semisimple operators
Continuous commutativity and spectrum preservers on normal matrices are conjugations or transpose conjugations, while on semisimple and general matrices they admit more exotic forms determined by the local regularity of complex conjugation near coincident eigenvalues.