We investigate the structure of the free p-convex Banach lattice FBL. p/ŒE over a Banach
space E. After recalling why such a free lattice exists, and giving a convenient functional …

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 E there is a complex …

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 …

In this paper we study the structure of the set Hom. X; R/of all lattice homomorphisms from a
Banach lattice X into R. Using the relation among lattice homomorphisms and disjoint …

Motivated by the Lipschitz-lifting property of Banach spaces introduced by Godefroy and
Kalton, we consider the lattice-lifting property, which is an analogous notion within the …

We prove the existence of free objects in certain subcategories of Banach lattices, including
p-convex Banach lattices, Banach lattices with upper p-estimates, and AM-spaces. From this …

In this article we deal with the free Banach lattice generated by a lattice and its behavior with
respect to subspaces. In general, any lattice embedding $ i\colon\mathbb {L}\longrightarrow …

The free Banach lattice generated by a lattice | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Positivity …

A well-known classical result states that c 0 is linearly embeddable in a Banach lattice if and
only if it is lattice embeddable. Improving results of HP Lotz, HP Rosenthal and N …

We study the free Banach lattice $ FBL^{(p,\infty)}[E] $ with upper $ p $-estimates generated
by a Banach space $ E $. Using a classical result of Pisier on factorization through …