The free Banach lattice generated by a Banach space

By A. Avilés, Jos'e L. Rodr'iguez, Pedro Tradacete. 2017

55 citations recorded by the source corpus.

The free Banach lattice over a Banach space is introduced and analyzed. This generalizes the concept of free Banach lattice over a set of generators, and allows us to study the Nakano property and the density character of non-degenerate intervals on these spaces, answering some recent questions of B. de Pagter and A.W. Wickstead. Moreover, an example of a Banach lattice which is weakly compactly generated as a lattice but not as a Banach space is exhibited, thus answering a question of J. Diestel.

View Paper: https://www.semanticscholar.org/paper/0320d6a10bd91f4309a104a6f55a697718faef05