Quasi-similar models for nilpotent operators-Reference-Cited by-同舟云学术

Quasi-similar models for nilpotent operators

Published:1976 Issue:2 Volume:224 Page:407-415
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Apostol C.,Douglas R. G.,Foiaş C.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1976-224-02/S0002-9947-1976-0425651-0/S0002-9947-1976-0425651-0.pdf

Reference8 articles.

1. H. Bercovici, On the Jordan model of nilpotent operators, Private communication.

2. Compléments à l’étude des opérateurs de classe 𝐶_{𝑂}. III;Bercovici, H.;Acta Sci. Math. (Szeged),1975

3. Certain Jordan operator algebras and double commutant theorems;Bonsall, F. F.;J. Functional Analysis,1976

4. Reflexive linear transformations;Deddens, J. A.;Linear Algebra Appl.,1975

5. Pure and Applied Mathematics, Vol. 49;Douglas, Ronald G.,1972

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