Quasi-similar models for nilpotent operators

Apostol, C.; Douglas, R. G.; Foiaş, C.

doi:10.1090/S0002-9947-1976-0425651-0

Quasi-similar models for nilpotent operators
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by C. Apostol, R. G. Douglas and C. Foiaş PDF

Trans. Amer. Math. Soc. 224 (1976), 407-415 Request permission

Abstract:

Every nilpotent operator on a complex Hilbert space is shown to be quasi-similar to a canonical Jordan model. Further, the para-reflexive operators are characterized generalizing a result of Deddens and Fillmore.

References

On the Jordan model of nilpotent operators

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