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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 5, Pages 1118–1136 (Mi smj2592)  
This article is cited in 3 scientific papers (total in 3 papers)

On order bounded disjointness preserving operators

A. G. Kusraevab, S. S. Kutateladzec

a North Ossetian State University, Vladikavkaz, Russia
b Southern Mathematical Institute, Vladikavkaz Science Center of the Russian Academy of Sciences, Vladikavkaz, Russia
c Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (411 kB) Citations (3)
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Abstract: The paper is aimed at demonstrating that some properties of order bounded operators in vector lattices are just Boolean valued interpretations of elementary properties of order bounded functionals. We present the general machinery and illustrate it with a few new results on order bounded disjointness preserving and $n$-disjoint operators.
Keywords: Boolean valued analysis, vector lattice, disjointness preserving operator, lattice homomorphism.
Received: 19.06.2014
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 5, Pages 915–928
DOI: https://doi.org/10.1134/S0037446614050103
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. G. Kusraev, S. S. Kutateladze, “On order bounded disjointness preserving operators”, Sibirsk. Mat. Zh., 55:5 (2014), 1118–1136; Siberian Math. J., 55:5 (2014), 915–928
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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