A note on transitive localizing algebras
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- Proc. Amer. Math. Soc. 137 (2009), 3421-3423 Request permission
Abstract:
A simple proof is provided for a theorem of Troitsky that every nonzero quasinilpotent operator on a Banach space whose commutant is a localizing algebra has a nontrivial hyperinvariant subspace.References
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Additional Information
- Miguel Lacruz
- Affiliation: Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Avenida Reina Mercedes s/n, 41012 Sevilla, Spain
- Email: lacruz@us.es
- Received by editor(s): August 7, 2008
- Received by editor(s) in revised form: December 31, 2008, and February 13, 2009
- Published electronically: May 14, 2009
- Additional Notes: This research was partially supported by Junta de Andalucía under Grant FQM-3737.
- Communicated by: Marius Junge
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 3421-3423
- MSC (2000): Primary 47A15; Secondary 47L10
- DOI: https://doi.org/10.1090/S0002-9939-09-09924-9
- MathSciNet review: 2515411