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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 3, Pages 169–177
DOI: https://doi.org/10.21538/0134-4889-2016-22-3-169-177 (Mi timm1332) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Conditions for the irreducibility and primitivity of monotone subhomogeneous mappings

V. D. Mazurov, A. I. Smirnov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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DOI: https://doi.org/10.21538/0134-4889-2016-22-3-169-177
Abstract: We present necessary and sufficient conditions for the local irreducibility of monotone subhomogeneous transformations of the cone $\mathbb{R}_+^q$. The main attention is paid to the notion of irreducibility of a mapping at zero, which is a weakening of the classical notion of irreducibility of a mapping. We analyze the properties of monotone first-degree positively homogeneous mappings irreducible at zero and of subhomogeneous mappings. Necessary and sufficient conditions are obtained for the primitivity of such mappings.
Keywords: first-degree positively homogeneous mapping, subhomogeneous mapping, irreducible mapping, irreducible at zero mapping, primitive mapping.
Funding agency Grant number
Russian Foundation for Basic Research 16-07-00266
Received: 17.05.2016
Bibliographic databases:
Document Type: Article
UDC: 515.126.27+517.988.57
MSC: 47N05, 37N25, 37N40
Language: Russian
Citation: V. D. Mazurov, A. I. Smirnov, “Conditions for the irreducibility and primitivity of monotone subhomogeneous mappings”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 3, 2016, 169–177
Citation in format AMSBIB
\Bibitem{MazSmi16}
\by V.~D.~Mazurov, A.~I.~Smirnov
\paper Conditions for the irreducibility and primitivity of monotone subhomogeneous mappings
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 3
\pages 169--177
\mathnet{http://mi.mathnet.ru/timm1332}
\crossref{https://doi.org/10.21538/0134-4889-2016-22-3-169-177}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3555721}
\elib{https://elibrary.ru/item.asp?id=26530890}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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