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Vladikavkazskii Matematicheskii Zhurnal, 2016, Volume 18, Number 1, Pages 3–8 (Mi vmj566)  
On extension of dominated Uryson operators

N. M. Abasova, M. A. Plievb

a MATI — Russian State Technological University named after K. E. Tsiolkovky, Moscow, Russia
b Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz, Russia
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Abstract: We investigate the procedure of extension of a dominated orthogonally additive map dominated by a laterally continuous operator from laterally ideal to the whole space. It is established that such operator admits an extension that is dominated and laterally continuous.
Key words: vector lattice, lattice-normed space, dominated Uryson operator, lateral ideal, lateral band, laterally continuous operator.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-91339_ННИО-а
Received: 20.01.2016
Document Type: Article
UDC: 517.98+519.46
Language: Russian
Citation: N. M. Abasov, M. A. Pliev, “On extension of dominated Uryson operators”, Vladikavkaz. Mat. Zh., 18:1 (2016), 3–8
Citation in format AMSBIB
\Bibitem{AbaPli16}
\by N.~M.~Abasov, M.~A.~Pliev
\paper On extension of dominated Uryson operators
\jour Vladikavkaz. Mat. Zh.
\yr 2016
\vol 18
\issue 1
\pages 3--8
\mathnet{http://mi.mathnet.ru/vmj566}
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