Recent progress and open questions on the numerical index of Banach spaces

The aim of this paper is to review the state-of-the-art of recent research concerning the numerical index of Banach spaces, by presenting some of the results found in the last years and proposing a number of related open problems.Comment: 27 pages, 4 figures, to appear in RACSA

Remarks on rich subspaces of Banach spaces

We investigate rich subspaces of $L_1$ and deduce an interpolation property of Sidon sets. We also present examples of rich separable subspaces of nonseparable Banach spaces and we study the Daugavet property of tensor products.Comment: 12 page