English
Spectral decompositions and an extension of a theorem of Atzmon: a couple leading to spectral subspaces for Bishop operators
Post-edited
Auteurs : Gallardo-Gutiérrez, Eva A. (Auteur de la Conférence)
CIRM (Editeur )
47A15 - Invariant subspaces of linear operators
47B37 - Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
47B38 - Operators on function spaces (general)
CIRM (Editeur )
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| Bishop operators Invariant subspace problem Beurling algebras Decomposable operators Local spectral theory Local spectral subspaces |
Résumé :
Bishop's operator arose in the fifties as possible candidates for being counterexamples to the Invariant Subspace Problem. Several authors addressed the problem of finding invariant subspaces for some of these operators; but still the general problem is open. In this talk, we shall discuss about recent results on the existence of invariant subspaces which are indeed spectral subspaces for Bishop operators, by providing an extension of a Theorem of Atzmon (Joint work with M. Monsalve-Lopez).
Keywords : Bishop operators; invariant subspace problem
Codes MSC : Keywords : Bishop operators; invariant subspace problem
47A15 - Invariant subspaces of linear operators
47B37 - Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
47B38 - Operators on function spaces (general)
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 13/12/2019 Date de captation : 18/11/2019 Sous collection : Research talks arXiv category : Functional Analysis Domaine : Analysis and its Applications Format : MP4 (.mp4) - HD Durée : 00:41:08 Audience : Researchers Download : https://videos.cirm-math.fr/2019-11-18_Gallardo-Gutierrez.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Interpolation in Spaces of Analytic Functions / Interpolation dans les espaces de fonctions analytiquesOrganisateurs de la rencontre : Fricain, Emmanuel ; Hartmann, Andreas ; Wick, Brett Dates : 18/11/2019 - 22/11/2019 Année de la rencontre : 2019 URL Congrès : https://conferences.cirm-math.fr/2055.html
Données de citation
DOI : 10.24350/CIRM.V.19579203Citer cette vidéo: Gallardo-Gutiérrez, Eva A. (2019). Spectral decompositions and an extension of a theorem of Atzmon: a couple leading to spectral subspaces for Bishop operators. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19579203 URI : http://dx.doi.org/10.24350/CIRM.V.19579203 |
Voir aussi
- [Multi angle] Constructive polynomial approximation in Banach spaces of holomorphic functions / Auteur de la Conférence Ransford, Thomas.
- [Multi angle] Norm-preserving extensions of bounded holomorphic functions / Auteur de la Conférence McCarthy, John.
- [Multi angle] The Szegö minimum problem / Auteur de la Conférence Borichev, Alexander.
- [Multi angle] Singular rational inner functions on the polydisk / Auteur de la Conférence Bickel, Kelly.
Bibliographie
- CHAMIZO, Fernando, GALLARDO-GUTIÉRREZ, Eva A., MONSALVE-LÓPEZ, Miguel, et al. Invariant subspaces for Bishop operators and beyond. arXiv preprint arXiv:1812.08059, 2018. - https://arxiv.org/abs/1812.08059
