Invertibility of functions of operators and existence of hyperinvariant subspaces
Let T be an absolutely continuous polynomially bounded operator, and let θ be a singular inner function. It is shown that if θ(T)is invertible and some additional conditions are fulfilled, then T has nontrivial hyperinvariant subspaces.
Elmentve itt :
| Szerző: | |
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2019
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| Sorozat: | Acta scientiarum mathematicarum
85 No. 3-4 |
| Kulcsszavak: | Hiperinvariáns altér, polinomikusan határolt operátor |
| doi: | 10.14232/actasm-018-582-z |
| Online Access: | http://acta.bibl.u-szeged.hu/66333 |
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| 022 | |a 2064-8316 | ||
| 024 | 7 | |a 10.14232/actasm-018-582-z |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a zxx | ||
| 100 | 1 | |a Gamal Maria F. | |
| 245 | 1 | 0 | |a Invertibility of functions of operators and existence of hyperinvariant subspaces |h [elektronikus dokumentum] / |c Gamal Maria F. |
| 260 | |c 2019 | ||
| 300 | |a 573-588 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 85 No. 3-4 | |
| 520 | 3 | |a Let T be an absolutely continuous polynomially bounded operator, and let θ be a singular inner function. It is shown that if θ(T)is invertible and some additional conditions are fulfilled, then T has nontrivial hyperinvariant subspaces. | |
| 695 | |a Hiperinvariáns altér, polinomikusan határolt operátor | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/66333/1/math_085_numb_003-004_573-588.pdf |z Dokumentum-elérés |