Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896684 | Journal of Functional Analysis | 2018 | 23 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Antonio Avilés, José RodrÃguez, Pedro Tradacete,