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Localisation spectrale et sous-espaces hyperinvariants
Author(s):
A.
Daoui;
O.
El-Fallah
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2117-2122.
MSC (1991):
Primary 47A10
Posted:
March 3, 1999
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Abstract:
To get hyperinvariant subspaces, we establish a relation between the growth of the resolvent and the geometry of the spectrum. Our approach is based on a resolution of the generalized Dirichlet problem.
References:
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- A. Atzmon: On the existence of hyperinvariant subspaces. J.Operator Theory 11 (1984), 3-40. MR 85k:47005
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Additional Information:
A.
Daoui
Affiliation:
Université Mohammed V, Faculté des Sciences, Departement de Mathématiques et Informatique, B.P.1014, Rabat, Morocco
Email:
daoui@fsr.ac.ma
O.
El-Fallah
Affiliation:
Université Mohammed V, Faculté des Sciences, Departement de Mathématiques et Informatique, B.P.1014, Rabat, Morocco
Email:
elfallah@fsr.ac.ma
DOI:
10.1090/S0002-9939-99-04725-5
PII:
S 0002-9939(99)04725-5
Received by editor(s):
November 26, 1996
Received by editor(s) in revised form:
October 17, 1997
Posted:
March 3, 1999
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1999,
American Mathematical Society
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