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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 1, Pages 148–161
DOI: https://doi.org/10.33048/smzh.2019.60.113 (Mi smj3066) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Sums of order bounded disjointness preserving linear operators

A. G. Kusraevab, Z. A. Kusraevabc

a North Ossetian State University named after K. L. Khetagurov, Vladikavkaz, Russia
b Southern Mathematical Institute, Vladikavkaz, Russia
c Regional Mathematical Center of Southern Federal University, Rostov-on-Don, Russia
Full-text PDF (345 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2019.60.113
Abstract: Necessary and sufficient conditions are found under which the sum of $N$ order bounded disjointness preserving operators is $n$-disjoint with $n$ and $N$ naturals. It is shown that the decomposition of an order bounded $n$-disjoint operator into a sum of disjointness preserving operators is unique up to “Boolean permutation”, the meaning of which is clarified in the course of the presentation.
Keywords: vector lattice, purely $n$-disjoint operator, Boolean permutation, factorization.
Funding agency Grant number
Russian Foundation for Basic Research 17-51-12064_ННИО_а
18-31-00205
Received: 06.08.2018
Revised: 06.08.2018
Accepted: 17.10.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 1, Pages 114–123
DOI: https://doi.org/10.1134/S0037446619010130
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. G. Kusraev, Z. A. Kusraeva, “Sums of order bounded disjointness preserving linear operators”, Sibirsk. Mat. Zh., 60:1 (2019), 148–161; Siberian Math. J., 60:1 (2019), 114–123
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
    		Сибирский математический журнал Siberian Mathematical Journal
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