8 citations · 28 across the 49 of their papers we have counts for
3 papers · 1 filter
Band projections in spaces of regular operators
David Muñoz-Lahoz, Pedro Tradacete
We introduce inner band projections in the space of regular operators on a Dedekind complete Banach lattice and study some structural properties of this class. In particular, we pr…
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…