Abstract
It is proved that analytic equivalence of monic operator polynomials implies the similarity of their linearizations. In particular, linear operator polynomials λI-X and λI-Y are analytically equivalent if and only if X and Y are similar.
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Rodman, L. On analytic equivalence of operator polynomials. Integr equ oper theory 2, 48–61 (1979). https://doi.org/10.1007/BF01729360
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DOI: https://doi.org/10.1007/BF01729360