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A note on transitive localizing algebras
Author(s):
Miguel
Lacruz
Journal:
Proc. Amer. Math. Soc.
137
(2009),
3421-3423.
MSC (2000):
Primary 47A15;
Secondary 47L10
Posted:
May 14, 2009
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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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- 2.
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- 8.
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- 9.
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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
DOI:
10.1090/S0002-9939-09-09924-9
PII:
S 0002-9939(09)09924-9
Keywords:
Invariant subspace,
localizing algebra,
quasinilpotent operator
Received by editor(s):
August 7, 2008,
Received by editor(s) in revised form:
December 31, 2008, and February 13, 2009
Posted:
May 14, 2009
Additional Notes:
This research was partially supported by Junta de Andalucía under Grant FQM-3737.
Communicated by:
Marius Junge
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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