Chain conditions in free Banach lattices

Abstract

We show that for an arbitrary Banach space $E$, the free Banach lattice $FBL[E]$ generated by $E$ satisfies the $\sigma$-bounded chain condition.

8 pages, version 2 of May 2018

Cited by in corpus (3)

• The free Banach lattice generated by a lattice
• Banach lattices with upper $p$-estimates: free and injective objects
• Banach lattices of positively homogeneous functions induced by a Banach space