Quasisimilarity does not preserve the hyperlattice

Quasisimilarity does not preserve the hyperlattice
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by Domingo A. Herrero PDF

Proc. Amer. Math. Soc. 65 (1977), 80-84 Request permission

Two quasisimilar nilpotent Hilbert space operators of order three can have nonisomorphic hyperinvariant subspace lattices.

References

Hyperinvariant subspaces of a nilpotent operator

Quasisimilar models for nilpotent operators

Closure of similarity orbits of nilpotent operators

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