Backward shift invariant spaces in H2
If b ∈ B(H∞), the unit ball of H∞, then the de Branges-Rovnyak space H(b) is a Hilbert space contained contractively in H2 that is invariant by the backward shift operator S*. When b is an inner function, the invariant subspaces of H(b) are given by Beurling's theorem and when b is not an extre...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00222518_v46_n2_p593_Suarez |
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todo:paper_00222518_v46_n2_p593_Suarez2023-10-03T14:29:53Z Backward shift invariant spaces in H2 Suárez, D. If b ∈ B(H∞), the unit ball of H∞, then the de Branges-Rovnyak space H(b) is a Hilbert space contained contractively in H2 that is invariant by the backward shift operator S*. When b is an inner function, the invariant subspaces of H(b) are given by Beurling's theorem and when b is not an extreme point of B(H∞), they were characterized by Sarason. We characterize the invariant subspaces of H(b) when b is any extreme point of B(H∞). JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00222518_v46_n2_p593_Suarez |
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Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
If b ∈ B(H∞), the unit ball of H∞, then the de Branges-Rovnyak space H(b) is a Hilbert space contained contractively in H2 that is invariant by the backward shift operator S*. When b is an inner function, the invariant subspaces of H(b) are given by Beurling's theorem and when b is not an extreme point of B(H∞), they were characterized by Sarason. We characterize the invariant subspaces of H(b) when b is any extreme point of B(H∞). |
| format |
JOUR |
| author |
Suárez, D. |
| spellingShingle |
Suárez, D. Backward shift invariant spaces in H2 |
| author_facet |
Suárez, D. |
| author_sort |
Suárez, D. |
| title |
Backward shift invariant spaces in H2 |
| title_short |
Backward shift invariant spaces in H2 |
| title_full |
Backward shift invariant spaces in H2 |
| title_fullStr |
Backward shift invariant spaces in H2 |
| title_full_unstemmed |
Backward shift invariant spaces in H2 |
| title_sort |
backward shift invariant spaces in h2 |
| url |
http://hdl.handle.net/20.500.12110/paper_00222518_v46_n2_p593_Suarez |
| work_keys_str_mv |
AT suarezd backwardshiftinvariantspacesinh2 |
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1807323756802080768 |