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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| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00222518_v46_n2_p593_Suarez |
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| Sumario: | 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∞). |
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