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math.RA2024
Isomorphisms between lattices of hyperinvariant subspaces
David Mingueza, M. Eulàlia Montoro, Alicia Roca
Given two nilpotent endomorphisms, we determine when their lattices of hyperinvariant subspaces are isomorphic. The study of the lattice of hyperinvariant subspaces can be reduced…
math.RA2024★ 12 cited
Weierstrass structure and eigenvalue placement of regular matrix pencils under low rank perturbations
Itziar Baragaña, Alicia Roca
We solve the problem of determining the Weierstrass structure of a regular matrix pencil obtained by a low rank perturbation of another regular matrix pencil. We apply the result t…