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 NEFU. 2013. V. 20, issue 2. P. 34–40.

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.

Type	Article
Authors	Gutman Alexander Efimovich Koptev Alexander Viktorovich
Title	Lattice-metric decomposition of a monotone operator
Journal	Mathematical Notes of NEFU
Year	2013
Volume	20
Issue	2
Pages	34–40
Language	Russian
©	2013.10.15
Files	Article (PDF)
Links	Record in BibTeX format Information on eLIBRARY Volume on the journal site Journal site
Project	Bundles of Banach lattices Development of the theory of continuous and measurable bundles of Banach lattices and the theory of Banach–Kantorovich lattices

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Last updated
March 21, 2025