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Existence de sous-espaces hyper-invariants

Published online by Cambridge University Press:  18 May 2009

K. Kellay
K. Kellay
Affiliation:
Universite Bordeaux I, Lamp, Ers0127, U.F.R. De Mathematiques Et Informatique, 351, Cours De La Liberation. 33405 Talence Cedex, France
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Soient B un espace de Banach et ℒ(B) l'algèbre des opérateurs bornés sur B. On dit qu'un sous-espace fermé E de B est invariant pour l'opérateur T ∈ ℒ(B) lorsque TE ⊂ E et qu'il est non trivial si {0} EB. Le sous-espace E est dit hyper-invariant pour T s'il est invariant pour tout opérateur qui commute avec T.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 40 , Issue 1 , March 1998 , pp. 133 - 141
Copyright
Copyright © Glasgow Mathematical Journal Trust 1998

References

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