Hypercyclic operators with an infinite dimensional closed subspace of periodic points.
Grivaux, Sophie
Revista Matemática de la Universidad Complutense de Madrid, Tome 16 (2003), p. 383-390 / Harvested from Biblioteca Digital de Matemáticas
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Let X be an infinite dimensional separable Banach space. There exists a hypercyclic operator on X which is equal to the identity operator on an infinite dimensional closed subspace of X.

Publié le : 2003-01-01
DMLE-ID : 956 
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     title = {Hypercyclic operators with an infinite dimensional closed subspace of periodic points.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {16},
     year = {2003},
     pages = {383-390},
     zbl = {1062.47012},
     mrnumber = {MR2032923},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44503}
}

Grivaux, Sophie. Hypercyclic operators with an infinite dimensional closed subspace of periodic points.. Revista Matemática de la Universidad Complutense de Madrid, Tome 16 (2003) pp. 383-390. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44503/