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H 2 Spectral decompositions and an extension of a theorem of Atzmon: a couple leading to spectral subspaces for Bishop operators

Auteurs : Gallardo-Gutiérrez, Eva A. (Auteur de la Conférence)
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 :
47A15 - Invariant subspaces of linear operators
47B37 - Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
47B38 - Operators on function spaces (general)

    Informations sur la Vidéo

    Réalisateur : Hennenfent, Guillaume
    Langue : Anglais
    Date de publication : 13/12/2019
    Date de captation : 18/11/2019
    Collection : Research talks ; Analysis and its Applications
    Format : MP4 (.mp4) - HD
    Durée : 00:41:08
    Domaine : Analysis and its Applications
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2019-11-18_Gallardo-Gutierrez.mp4

Informations sur la rencontre

Nom de la rencontre : Interpolation in Spaces of Analytic Functions / Interpolation dans les espaces de fonctions analytiques
Organisateurs 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

Citation Data

DOI : 10.24350/CIRM.V.19579203
Cite 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

Voir aussi


  • 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