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Spectral decompositions and an extension of a theorem of Atzmon: a couple leading to spectral subspaces for Bishop operators
Post-edited
Authors : Gallardo-Gutiérrez, Eva A. (Author of the conference)
CIRM (Publisher )
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 (Publisher )
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| Bishop operators Invariant subspace problem Beurling algebras Decomposable operators Local spectral theory Local spectral subspaces |
Abstract :
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
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 13/12/2019 Conference Date : 18/11/2019 Subseries : Research talks arXiv category : Functional Analysis Mathematical Area(s) : Analysis and its Applications Format : MP4 (.mp4) - HD Video Time : 00:41:08 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-11-18_Gallardo-Gutierrez.mp4 
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Information on the Event
Event Title : Interpolation in Spaces of Analytic Functions / Interpolation dans les espaces de fonctions analytiquesEvent Organizers : Fricain, Emmanuel ; Hartmann, Andreas ; Wick, Brett Dates : 18/11/2019 - 22/11/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2055.html
Citation Data
DOI : 10.24350/CIRM.V.19579203Cite this video as: 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 |
See Also
- [Multi angle] Constructive polynomial approximation in Banach spaces of holomorphic functions / Author of the conference Ransford, Thomas.
- [Multi angle] Norm-preserving extensions of bounded holomorphic functions / Author of the conference McCarthy, John.
- [Multi angle] The Szegö minimum problem / Author of the conference Borichev, Alexander.
- [Multi angle] Singular rational inner functions on the polydisk / Author of the conference Bickel, Kelly.
Bibliography
- 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
