@book { Gutman19990919,
  author = "Gutman A.E. and Kolesnikov A.S.",
  note = "Textbook",
  title = "Banach--Kantorovich lattices",
  address = "Novosibirsk",
  publisher = "Novosib. State Univ.",
  year = "2000",
  pages = "80",
  language = "russian",
  annote = "The paper continues the study related to lattice-normed spaces (LNSs) and their representations as spaces of sections. First of all, we speak of the notion of lattice-ordered LNS, i.e., an LNS endowed with an order which makes the LNS into a vector lattice and its norm, into a monotone function (with respect to the absolute value). Examples of such spaces include spaces of continuous, weakly continuous, measurable, weakly measurable, and Bochner-summable functions with values in Banach lattices, spaces of order-bounded lattice-valued functions, spaces of vector-valued measures of bounded variation with values in a Banach lattice, spaces of lattice-valued measures, as well as spaces of continuous and measurable sections of bundles of Banach lattices which are studied in the paper. As an application, the problem is considered of analytic representation of the conditional expectation operator."
}
@inproceedings { Gutman20130823,
  author = "Gutman A.E.",
  title = "Positive lifting in a measurable bundle of Banach lattices",
  booktitle = "Differential Equations. Function Spaces. Approximation Theory. International Conference dedicated to the 105th anniversary of the birthday of S.L.Sobolev (Novosibirsk, August 18--24, 2013): Proceeding",
  address = "Novosibirsk",
  publisher = "Institute of Mathematics SB RAS",
  year = "2013",
  pages = "377",
  language = "russian",
  annote = "It is shown that in the definition of lifting for classes of measurable sections of a measurable bundle of Banach lattices, the requirement of preservation of the lattice operations is superfluous and can be replaced with positivity."
}
@article { Gutman20131013,
  author = "Gutman A.E.",
  title = "Positive lifting in a measurable bundle of Banach lattices",
  journal = "Vladikavk. Math. J.",
  year = "2013",
  volume = "15",
  number = "4",
  pages = "12--13",
  doi = "10.23671/VNC.2013.4.7329",
  language = "russian",
  annote = "It is shown that every positive lifting in a measurable bundle of Banach lattices is a lattice homomorphism.",
  keywords = "Banach lattice, lattice homomorphism, Banach bundle, lifting"
}
@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."
}