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"