Norm-attaining lattice homomorphisms (Q2135425)

Let \(X,Y\) be real Banach lattices. This interesting paper deals with the question of norm attainment of continuous linear lattice homomorphisms between such spaces. When $Y$ is the field of real scalars, this happens when $X$ is order complete, also when \(X\) is a dual Banach lattice containing no isomorphic copy of \(\ell_{\infty}\). When \(Y\) is an abstract \(M\)-space and \(X\) is such that every real-valued lattice homomorphism attains its norm, then any compact, lattice homomorphism \(T: X \rightarrow Y\) attains its norm.