Hilbert spaces of analytic functions with a contractive backward shift
We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift f ( z ) ↦ f ( z ) − f ( 0 ) z is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend c...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Aleman, Alexandru [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019transfer abstract |
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| Schlagwörter: |
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| Umfang: |
43 |
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| Übergeordnetes Werk: |
Enthalten in: Corrigendum to “Rifampicin resistance mutations in the rpoB gene of - Urusova, Darya V. ELSEVIER, 2022, Amsterdam [u.a.] |
|---|---|
| Übergeordnetes Werk: |
volume:277 ; year:2019 ; number:1 ; day:1 ; month:07 ; pages:157-199 ; extent:43 |
| Links: |
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| DOI / URN: |
10.1016/j.jfa.2018.08.019 |
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ELV046657703 |
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| 520 | |a We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift f ( z ) ↦ f ( z ) − f ( 0 ) z is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend continuously to the closure of the disk are dense in the space. This has several applications, for example we can answer a question regarding reverse Carleson embeddings for these spaces. We also identify a large class of spaces which are similar to the de Branges–Rovnyak spaces and prove some results which are new even in the classical case. | ||
| 520 | |a We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift f ( z ) ↦ f ( z ) − f ( 0 ) z is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend continuously to the closure of the disk are dense in the space. This has several applications, for example we can answer a question regarding reverse Carleson embeddings for these spaces. We also identify a large class of spaces which are similar to the de Branges–Rovnyak spaces and prove some results which are new even in the classical case. | ||
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| 700 | 1 | |a Malman, Bartosz |4 oth | |
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10.1016/j.jfa.2018.08.019 doi GBV00000000000611.pica (DE-627)ELV046657703 (ELSEVIER)S0022-1236(18)30322-7 DE-627 ger DE-627 rakwb eng 570 VZ BIODIV DE-30 fid 44.00 bkl Aleman, Alexandru verfasserin aut Hilbert spaces of analytic functions with a contractive backward shift 2019transfer abstract 43 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift f ( z ) ↦ f ( z ) − f ( 0 ) z is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend continuously to the closure of the disk are dense in the space. This has several applications, for example we can answer a question regarding reverse Carleson embeddings for these spaces. We also identify a large class of spaces which are similar to the de Branges–Rovnyak spaces and prove some results which are new even in the classical case. We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift f ( z ) ↦ f ( z ) − f ( 0 ) z is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend continuously to the closure of the disk are dense in the space. This has several applications, for example we can answer a question regarding reverse Carleson embeddings for these spaces. We also identify a large class of spaces which are similar to the de Branges–Rovnyak spaces and prove some results which are new even in the classical case. Backward shift Elsevier Hilbert spaces of analytic functions Elsevier Malman, Bartosz oth Enthalten in Elsevier Urusova, Darya V. ELSEVIER Corrigendum to “Rifampicin resistance mutations in the rpoB gene of 2022 Amsterdam [u.a.] (DE-627)ELV007566018 volume:277 year:2019 number:1 day:1 month:07 pages:157-199 extent:43 https://doi.org/10.1016/j.jfa.2018.08.019 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 44.00 Medizin: Allgemeines VZ AR 277 2019 1 1 0701 157-199 43 |
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10.1016/j.jfa.2018.08.019 doi GBV00000000000611.pica (DE-627)ELV046657703 (ELSEVIER)S0022-1236(18)30322-7 DE-627 ger DE-627 rakwb eng 570 VZ BIODIV DE-30 fid 44.00 bkl Aleman, Alexandru verfasserin aut Hilbert spaces of analytic functions with a contractive backward shift 2019transfer abstract 43 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift f ( z ) ↦ f ( z ) − f ( 0 ) z is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend continuously to the closure of the disk are dense in the space. This has several applications, for example we can answer a question regarding reverse Carleson embeddings for these spaces. We also identify a large class of spaces which are similar to the de Branges–Rovnyak spaces and prove some results which are new even in the classical case. We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift f ( z ) ↦ f ( z ) − f ( 0 ) z is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend continuously to the closure of the disk are dense in the space. This has several applications, for example we can answer a question regarding reverse Carleson embeddings for these spaces. We also identify a large class of spaces which are similar to the de Branges–Rovnyak spaces and prove some results which are new even in the classical case. Backward shift Elsevier Hilbert spaces of analytic functions Elsevier Malman, Bartosz oth Enthalten in Elsevier Urusova, Darya V. ELSEVIER Corrigendum to “Rifampicin resistance mutations in the rpoB gene of 2022 Amsterdam [u.a.] (DE-627)ELV007566018 volume:277 year:2019 number:1 day:1 month:07 pages:157-199 extent:43 https://doi.org/10.1016/j.jfa.2018.08.019 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 44.00 Medizin: Allgemeines VZ AR 277 2019 1 1 0701 157-199 43 |
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10.1016/j.jfa.2018.08.019 doi GBV00000000000611.pica (DE-627)ELV046657703 (ELSEVIER)S0022-1236(18)30322-7 DE-627 ger DE-627 rakwb eng 570 VZ BIODIV DE-30 fid 44.00 bkl Aleman, Alexandru verfasserin aut Hilbert spaces of analytic functions with a contractive backward shift 2019transfer abstract 43 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift f ( z ) ↦ f ( z ) − f ( 0 ) z is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend continuously to the closure of the disk are dense in the space. This has several applications, for example we can answer a question regarding reverse Carleson embeddings for these spaces. We also identify a large class of spaces which are similar to the de Branges–Rovnyak spaces and prove some results which are new even in the classical case. We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift f ( z ) ↦ f ( z ) − f ( 0 ) z is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend continuously to the closure of the disk are dense in the space. This has several applications, for example we can answer a question regarding reverse Carleson embeddings for these spaces. We also identify a large class of spaces which are similar to the de Branges–Rovnyak spaces and prove some results which are new even in the classical case. Backward shift Elsevier Hilbert spaces of analytic functions Elsevier Malman, Bartosz oth Enthalten in Elsevier Urusova, Darya V. ELSEVIER Corrigendum to “Rifampicin resistance mutations in the rpoB gene of 2022 Amsterdam [u.a.] (DE-627)ELV007566018 volume:277 year:2019 number:1 day:1 month:07 pages:157-199 extent:43 https://doi.org/10.1016/j.jfa.2018.08.019 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 44.00 Medizin: Allgemeines VZ AR 277 2019 1 1 0701 157-199 43 |
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10.1016/j.jfa.2018.08.019 doi GBV00000000000611.pica (DE-627)ELV046657703 (ELSEVIER)S0022-1236(18)30322-7 DE-627 ger DE-627 rakwb eng 570 VZ BIODIV DE-30 fid 44.00 bkl Aleman, Alexandru verfasserin aut Hilbert spaces of analytic functions with a contractive backward shift 2019transfer abstract 43 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift f ( z ) ↦ f ( z ) − f ( 0 ) z is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend continuously to the closure of the disk are dense in the space. This has several applications, for example we can answer a question regarding reverse Carleson embeddings for these spaces. We also identify a large class of spaces which are similar to the de Branges–Rovnyak spaces and prove some results which are new even in the classical case. We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift f ( z ) ↦ f ( z ) − f ( 0 ) z is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend continuously to the closure of the disk are dense in the space. This has several applications, for example we can answer a question regarding reverse Carleson embeddings for these spaces. We also identify a large class of spaces which are similar to the de Branges–Rovnyak spaces and prove some results which are new even in the classical case. Backward shift Elsevier Hilbert spaces of analytic functions Elsevier Malman, Bartosz oth Enthalten in Elsevier Urusova, Darya V. ELSEVIER Corrigendum to “Rifampicin resistance mutations in the rpoB gene of 2022 Amsterdam [u.a.] (DE-627)ELV007566018 volume:277 year:2019 number:1 day:1 month:07 pages:157-199 extent:43 https://doi.org/10.1016/j.jfa.2018.08.019 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 44.00 Medizin: Allgemeines VZ AR 277 2019 1 1 0701 157-199 43 |
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| abstract |
We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift f ( z ) ↦ f ( z ) − f ( 0 ) z is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend continuously to the closure of the disk are dense in the space. This has several applications, for example we can answer a question regarding reverse Carleson embeddings for these spaces. We also identify a large class of spaces which are similar to the de Branges–Rovnyak spaces and prove some results which are new even in the classical case. |
| abstractGer |
We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift f ( z ) ↦ f ( z ) − f ( 0 ) z is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend continuously to the closure of the disk are dense in the space. This has several applications, for example we can answer a question regarding reverse Carleson embeddings for these spaces. We also identify a large class of spaces which are similar to the de Branges–Rovnyak spaces and prove some results which are new even in the classical case. |
| abstract_unstemmed |
We consider Hilbert spaces of analytic functions in the disk with a normalized reproducing kernel and such that the backward shift f ( z ) ↦ f ( z ) − f ( 0 ) z is a contraction on the space. We present a model for this operator and use it to prove the surprising result that functions which extend continuously to the closure of the disk are dense in the space. This has several applications, for example we can answer a question regarding reverse Carleson embeddings for these spaces. We also identify a large class of spaces which are similar to the de Branges–Rovnyak spaces and prove some results which are new even in the classical case. |
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| title_short |
Hilbert spaces of analytic functions with a contractive backward shift |
| url |
https://doi.org/10.1016/j.jfa.2018.08.019 |
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| author2 |
Malman, Bartosz |
| author2Str |
Malman, Bartosz |
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| doi_str |
10.1016/j.jfa.2018.08.019 |
| up_date |
2024-07-06T20:48:13.099Z |
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