@article { Gutman20250324, author = "Gutman A.E.", title = "Monotone operators in vector lattices and lattice-normed spaces", journal = "Sib. Math. J.", year = "2025", volume = "66", number = "3", pages = "826--831", doi = "10.1134/S0037446625030188", annote = "We show that every monotone linear operator from a vector lattice to a lattice-normed space can be represented as the composition of a surjective lattice homomorphism and a linear isometry. We also give some applications to the theory of continuous and measurable bundles of Banach lattices.", keywords = "Riesz space, Banach lattice, lattice homomorphism, positive isometry, order isomorphism, lattice-normed space, Banach--Kantorovich space, Banach bundle, measurable section, lifting" }