@article { Gutman20131015,
  author = "Gutman A.E. and Koptev A.V.",
  title = "Lattice-metric decomposition of a monotone operator",
  journal = "Math. Notes YSU",
  year = "2013",
  volume = "20",
  number = "2",
  pages = "34--40",
  language = "russian",
  annote = "In the paper, we consider the natural notion of monotone linear operator acting from a vector lattice into a normed space, show that every monotone operator admits a ``lattice-metric'' representation as the composition of a lattice homomorphism and a linear isometry, and present several applications of the results to the study of continuous and measurable bundles of Banach lattices."
}