The Daugavet equation for Lipschitz operators
De Dirk Werner
Apparaît également dans la collection : Banach spaces and their applications in analysis / Espaces de Banach et applications à l'analyse
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.
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