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On quasinilpotent Operators, II

Part of: General theory of linear operators

Published online by Cambridge University Press:  09 April 2009

Ciprian Foiaş ,
Il Bong Jung ,
Eungil Ko  and
Carl Pearcy
Ciprian Foiaş
Affiliation:
Department of Mathematics, Texas A&M University, College Station, TX 77843, USA e-mail: [email protected]
Il Bong Jung
Affiliation:
Department of Mathematics, College of Natural Science, Kyungpook National University, Daegu 702–701, Korea e-mail: [email protected]
Eungil Ko
Affiliation:
Department of Mathematics, Ewha Women's University, Seoul 120–750, Korea e-mail: [email protected]
Carl Pearcy
Affiliation:
Department of Mathematics, Texas A&M University, College Station TX 77843, USA e-mail: [email protected]
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Abstract

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In this paper we continue to modify and expand a technique due to Enflo for producing nontrivial hyperinvariant subspaces for quasinilpotent operators, and thereby obtain such subspaces for some additional quasinilpotent operators on Hilbert space. We also obtain a structure theorem for a certain class of operators.

Keywords

hyperinvariant subspacesquasinilpotent operators

MSC classification

Secondary: 47A15: Invariant subspaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 77 , Issue 3 , December 2004 , pp. 349 - 356
Copyright
Copyright © Australian Mathematical Society 2004

References

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