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"