Feldman, W. A.; Porter, J. F. Operators on Banach lattices as weighted compositions. (English) Zbl 0564.46016 J. Lond. Math. Soc., II. Ser. 33, 149-156 (1986). Lattice homomorphisms and disjointness preserving operators between Banach lattices having locally compact representation spaces are studied. These operators are described as weighted composition operators with respect to the representation spaces. Specifically, \(Tf=rf\circ \phi\) for r a scale valued function and \(\phi\) a map between representation spaces. These results then permit an analysis of the principal order ideal generated by a homomorphism. Cited in 12 Documents MSC: 46B42 Banach lattices 47B60 Linear operators on ordered spaces 47B38 Linear operators on function spaces (general) Keywords:lattice homomorphisms; disjointness preserving operators between Banach lattices having locally compact representation spaces; weighted composition operators; principal order ideal PDFBibTeX XMLCite \textit{W. A. Feldman} and \textit{J. F. Porter}, J. Lond. Math. Soc., II. Ser. 33, 149--156 (1986; Zbl 0564.46016) Full Text: DOI