Characterization of stability of contractions
We characterize those sequences of bounded analytic functions, which have the property that an absolutely continuous contraction T is stable (that is the powers Tn converge to zero) exactly when the operators hn(T) converge to zero in the strong operator topology. Our result is extended to polynomia...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2013
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| Sorozat: | Acta scientiarum mathematicarum
79 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/30876 |
| Tartalmi kivonat: | We characterize those sequences of bounded analytic functions, which have the property that an absolutely continuous contraction T is stable (that is the powers Tn converge to zero) exactly when the operators hn(T) converge to zero in the strong operator topology. Our result is extended to polynomially bounded operators too. |
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| Terjedelem/Fizikai jellemzők: | 325-332 |
| ISSN: | 0001-6969 |