3 problems

Let $E$ be a Banach space, and let $\mathrm{FBL}[E]$ denote the free Banach lattice generated by $E$. A Banach space is weakly compactly generated (WCG) if it is the closed linear…

Let $\textswab{a}$ be an uncountable set, let $X$ be a projective Banach lattice, and suppose that $X$ contains a closed ideal isomorphic to the free Banach lattice…

Let $X$ be a projective Banach lattice, and let a topological order unit mean an element whose principal order ideal is dense in $X$. A Banach lattice is free when it is a free Ban…