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Multi angle The Daugavet equation for Lipschitz operators

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

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