4 problems

Let $X$ be a projective Banach lattice, and let an order continuous functional mean a continuous linear functional preserving limits of decreasing nets to zero in order. The atoms…

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…

A projective Banach lattice is a Banach lattice with the projective lifting property, and a topological order unit is an element whose principal order ideal is dense in the lattice…