@article { Gutman19930403,
  author = "Gutman A.E.",
  title = "Banach bundles in the theory of lattice-normed spaces. III. Approximating sets and bounded operators",
  journal = "Siberian Adv. Math.",
  year = "1994",
  volume = "4",
  number = "2",
  pages = "54--75",
  annote = "Two questions in the general theory of lattice-normed spaces (LNSs) are considered. First, the situation is studied when a subset of an LNS is order dense in the entire LNS; the notion of order approximation is introduced and described from various points of view. Second, the situation is studied when a linear operator from one LNS to another is order bounded; several different types of boundedness are introduced and studied in detail.",
  keywords = "vector lattice, lattice-normed space, order approximating set, order bounded linear operator"
}