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.
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| Main Author: | |
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| Format: | Article |
| Published: |
2019
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| Series: | 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 |
| Summary: | 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. |
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| Physical Description: | 573-588 |
| ISSN: | 2064-8316 |