Deddens algebras and weighted shifts of infinite multiplicity
We consider the weighted shifts of infinite multiplicity with quasiaffine weights. We obtain a necessary and sufficient condition for the Deddens algebra associated to such a shift to have a nontrivial invariant subspace, or to be dense. Our technique is based on the study of compressions of operato...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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Bolyai Institute, University of Szeged
Szeged
2016
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| Sorozat: | Acta scientiarum mathematicarum
82 No. 3-4 |
| Kulcsszavak: | Deddens algebra, nemvariáns altér, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-014-789-3 |
| Online Access: | http://acta.bibl.u-szeged.hu/46328 |
| Tartalmi kivonat: | We consider the weighted shifts of infinite multiplicity with quasiaffine weights. We obtain a necessary and sufficient condition for the Deddens algebra associated to such a shift to have a nontrivial invariant subspace, or to be dense. Our technique is based on the study of compressions of operators in the Deddens algebra to some subspaces, and the relations between such compressions. |
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| Terjedelem/Fizikai jellemzők: | 577-595 |
| ISBN: | 0001-6969 |