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Vladikavkazskii Matematicheskii Zhurnal, 2007, Volume 9, Number 1, Pages 16–29 (Mi vmj84)  
This article is cited in 27 scientific papers (total in 28 papers)

Representation and extension of orthoregular bilinear operators

G. Buskesa, A. G. Kusraevb

a Department of Mathematics, University of Mississippi, USA
b Institute of Applied Mathematics and Informatics, Vladikavkaz Science Center of the RAS, Vladikavkaz, Russia
Full-text PDF (204 kB) Citations (28)
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Abstract: In this paper we study some important structural properties of orthosymmetric bilinear operators using the concept of the square of an Archimedean vector lattice. Some new results on extension and analytical representation of such operators are presented.
Key words: vector lattice, positive bilinear operator, orthosymmetric bilinear operator, orthoregular bilinear operator, lattice bimorphism.
Received: 15.03.2006
Bibliographic databases:
Document Type: Article
UDC: 517.98
MSC: 46A40, 47A65
Language: English
Citation: G. Buskes, A. G. Kusraev, “Representation and extension of orthoregular bilinear operators”, Vladikavkaz. Mat. Zh., 9:1 (2007), 16–29
Citation in format AMSBIB
\Bibitem{BusKus07}
\by G.~Buskes, A.~G.~Kusraev
\paper Representation and extension of orthoregular bilinear operators
\jour Vladikavkaz. Mat. Zh.
\yr 2007
\vol 9
\issue 1
\pages 16--29
\mathnet{http://mi.mathnet.ru/vmj84}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2434620}
\elib{https://elibrary.ru/item.asp?id=11620326}
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    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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