Jiménez Fernández, Eduardo; Sánchez Pérez, Enrique Alfonso; Werner, Dirk(Institute of Mathematics, Polish Academy of Sciences, 2017-11-08)
[EN] We study whether or not the integration maps of vector measures can be
computed as pointwise limits of their finite rank Radon¿Nikodým derivatives. The positive
cases are obtained by using the circle of ideas related ...
We introduce and analyse the notion of slice continuity between operators on Banach
spaces in the setting of the Daugavet property. It is shown that under the slice continuity
assumption the Daugavet equation holds for ...
[EN] Requirements under which the Daugavet equation and the alternative Daugavet equation hold for pairs of nonlinear maps between Banach spaces are analyzed. A geometric description is given in terms of nonlinear slices. ...
A natural extension of the Daugavet property for p-convex Banach function spaces and related classes is analysed. As an application, we extend the arguments given in the setting of the Daugavet property to show that no ...