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Minimal vectors in arbitrary Banach spaces
Author(s):
Vladimir
G.
Troitsky
Journal:
Proc. Amer. Math. Soc.
132
(2004),
1177-1180.
MSC (2000):
Primary 47A15
Posted:
August 28, 2003
MathSciNet review:
2045435
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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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Additional Information:
Vladimir
G.
Troitsky
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, AB, T6G 2G1 Canada
Email:
vtroitsky@math.ualberta.ca
DOI:
10.1090/S0002-9939-03-07223-X
PII:
S 0002-9939(03)07223-X
Keywords:
Invariant subspace,
minimal vector
Received by editor(s):
November 27, 2002
Received by editor(s) in revised form:
December 22, 2002
Posted:
August 28, 2003
Communicated by:
N. Tomczak-Jaegermann
Copyright of article:
Copyright
2003,
American Mathematical Society
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