[BibTeX] Lattice-metric decomposition of a monotone operator [in Russian]

Gutman A.E., Koptev A.V.

Lattice-metric decomposition of a monotone operator [in Russian] //

Math. Notes YSU. 2013. V. 20, issue 2. P. 34--40.

BibTeX:

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@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."

}