Reflexivity of linear spaces of Hankel operators
The space Hank of Hankel operators acting on the Hardy space H2 is a module over H°° . There is a natural correspondence between weak* closed submodules of Hank and individual inner functions, and we apply work of V. Kapustin on Jordan models to characterize which submodules are reflexive in terms o...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2007
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| Sorozat: | Acta scientiarum mathematicarum
73 No. 3-4 |
| Kulcsszavak: | Matematika, Hankel-operátor, Operátorelmélet |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16210 |
| Tartalmi kivonat: | The space Hank of Hankel operators acting on the Hardy space H2 is a module over H°° . There is a natural correspondence between weak* closed submodules of Hank and individual inner functions, and we apply work of V. Kapustin on Jordan models to characterize which submodules are reflexive in terms of the canonical factorization of these functions. We also prove that reflexivity of any weak* closed subspace of Hank is equivalent to reflexivity of the largest H° ° module it contains. Analogous results are obtained in the finite dimensional and "semi-infinite" dimensional settings. |
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| Terjedelem/Fizikai jellemzők: | 683-728 |
| ISSN: | 0001-6969 |