1 citations · 1 across the 3 of their papers we have counts for
3 papers
A negative solution to the complemented subspace problem in Banach lattices
D. de Hevia, G. Martínez-Cervantes, A. Salguero-Alarcón +1
Building on a recent construction of G. Plebanek and the third named author, it is shown that a complemented subspace of a Banach lattice need not be linearly isomorphic to a Banac…
Free objects in Banach space theory
Enrique García-Sánchez, David de Hevia, Pedro Tradacete
We survey recent progress on three relevant instances of free objects related to Banach spaces: Lipschitz free spaces generated by metric spaces, holomorphic free spaces generated…
Free complex Banach lattices
David de Hevia, Pedro Tradacete
The construction of the free Banach lattice generated by a real Banach space is extended to the complex setting. It is shown that for every complex Banach space there is a comp…