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Multi angle The Daugavet equation for Lipschitz operators

Auteurs : Werner, Dirk (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : We study the Daugavet equation
    $\parallel Id+T\parallel$ $=1$ $+$ $\parallel T\parallel$
    for Lipschitz operators on a Banach space. For this we introduce a substitute for the concept of slice for the case of non-linear Lipschitz functionals and transfer some results about the Daugavet and the alternative Daugavet equations previously known only for linear operators to the non-linear case.

    numerical radius - numerical index - Daugavet equation - Daugavet property - SCD space - Lipschitz operator

    Codes MSC :
    46B04 - Isometric theory of Banach spaces
    46B22 - Radon-Nikodym, Krein-Milman and related properties [See also 46G10]
    47A12 - Numerical range, numerical radius
    46B80 - Nonlinear classification of Banach spaces; nonlinear quotients

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 21/01/15
      Date de captation : 15/01/15
      Collection : Research talks
      Format : quicktime ; audio/x-aac
      Durée : 00:47:27
      Domaine : Analyse & Applications
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : http://videos.cirm-math.fr/2015-01-15_Werner.mp4

    Informations sur la rencontre

    Nom du congrès : Banach spaces and their applications in analysis / Espaces de Banach et applications à l'analyse
    Organisteurs Congrès : Albiac, Fernando ; Casazza, Peter G. ; Godefroy, Gilles ; Lancien, Gilles
    Dates : 12/01/15 - 16/01/15
    Année de la rencontre : 2015

    Citation Data

    DOI : 10.24350/CIRM.V.18666703
    Cite this video as: Werner, Dirk (2015). The Daugavet equation for Lipschitz operators. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18666703
    URI : http://dx.doi.org/10.24350/CIRM.V.18666703


    Bibliographie

    1. Kadets, V., Martin, M., Meri, J., & Werner, D. (2014). Lipschitz slices and the Daugavet equation for Lipschitz operators. - http://arxiv.org/abs/1407.4018

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