On the concave one-dimensional random assignment problem: Kantorovich meets young
De Dario Trevisan
The Landau Hamiltonian with delta-potentials supported on curves
De Jussi Behrndt
De Dirk Werner
Apparaît dans les collections : Banach spaces and their applications in analysis / Espaces de Banach et applications à l'analyse, Exposés de recherche
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.