## Minimal vectors in arbitrary Banach spaces

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- by Vladimir G. Troitsky
- Proc. Amer. Math. Soc.
**132**(2004), 1177-1180 - DOI: https://doi.org/10.1090/S0002-9939-03-07223-X
- Published electronically: August 28, 2003
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## Abstract:

We extend the method of minimal vectors to arbitrary Banach spaces. It is proved, by a variant of the method, that certain quasinilpotent operators on arbitrary Banach spaces have hyperinvariant subspaces.## References

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## Bibliographic Information

**Vladimir G. Troitsky**- Affiliation: Department of Mathematics, University of Alberta, Edmonton, AB, T6G 2G1 Canada
- Email: vtroitsky@math.ualberta.ca
- Received by editor(s): November 27, 2002
- Received by editor(s) in revised form: December 22, 2002
- Published electronically: August 28, 2003
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**132**(2004), 1177-1180 - MSC (2000): Primary 47A15
- DOI: https://doi.org/10.1090/S0002-9939-03-07223-X
- MathSciNet review: 2045435