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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Publicado: 1997
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222518_v46_n2_p593_Suarez
http://hdl.handle.net/20.500.12110/paper_00222518_v46_n2_p593_Suarez
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00222518_v46_n2_p593_Suarez
record_format dspace
spelling paper:paper_00222518_v46_n2_p593_Suarez2023-06-08T14:48:21Z 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 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∞). 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222518_v46_n2_p593_Suarez http://hdl.handle.net/20.500.12110/paper_00222518_v46_n2_p593_Suarez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection 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∞).
title Backward shift invariant spaces in H2
spellingShingle 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
publishDate 1997
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222518_v46_n2_p593_Suarez
http://hdl.handle.net/20.500.12110/paper_00222518_v46_n2_p593_Suarez
_version_ 1768542632533819392

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