E. Pérez

activity

20102017

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4 papers · 1 filter

math.FA2017

Approximation of integration maps of vector measures and limit representations of Banach function spaces

Eduardo Jimenez Fernandez, Enrique A. Sanchez Perez, Dirk Werner

We study when the integration maps of vector measures can be computed as pointwise limits of their finite rank Radon-Nikodým derivatives. We will show that this can sometimes be do…

math.FA2015

The Daugavet equation for bounded vector valued functions

Stefan Brach, Enrique A. Sanchez Perez, Dirk Werner

Requirements under which the Daugavet equation and the alternative Daugavet equation hold for pairs of nonlinear maps between Banach spaces are analysed. A geometric description is…

math.FA2015

Strong extensions for $q$ -summing operators acting in $p$ -convex Banach function spaces for $1 \leq p \leq q$

O. Delgado, E. A. Sánchez Pérez

Let $1 \leq p \leq q < \infty$ and let $X$ be a $p$ -convex Banach function space over a $σ$ -finite measure $μ$ . We combine the structure of the spaces $L^{p} (μ)$ and $L^{q} (ξ)$ for construct…

math.FA2010

The geometry of L^p-spaces over atomless measure spaces and the Daugavet property

Enrique A. Sanchez Perez, Dirk Werner

We show that $L^{p}$ -spaces over atomless measure spaces can be characterized in terms of a $p$ -concavity type geometric property that is related with the Daugavet property.

Approximation of integration maps of vector measures and limit representations of Banach function spaces

The Daugavet equation for bounded vector valued functions

Strong extensions for q-summing operators acting in p-convex Banach function spaces for 1≤p≤q

The geometry of L^p-spaces over atomless measure spaces and the Daugavet property

Strong extensions for $q$ -summing operators acting in $p$ -convex Banach function spaces for $1 \leq p \leq q$