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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 2, Pages 357–366 (Mi smj1845)  
This article is cited in 14 scientific papers (total in 15 papers)

Multiplicative representation of bilinear operators

A. G. Kusraev, S. N. Tabuev

Institute of Applied Mathematics and Informatics, Vladikavkaz Scientific Centre, RAS
Full-text PDF (334 kB) Citations (15)
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Abstract: We establish that each lattice bimorphism from the Cartesian product of two vector lattices into a universally complete vector lattice is representable as the product of two lattice homomorphisms defined on the factors. This fact makes it possible to reduce the problem to the linear case and obtain some results on representation of an order bounded disjointness preserving bilinear operator as a strongly disjoint sum of weighted shift or multiplicative operators.
Keywords: order bounded bilinear operator, lattice bimorphism, weighted shift operator, multiplicative representation.
Received: 23.10.2006
Revised: 03.07.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 2, Pages 287–294
DOI: https://doi.org/10.1007/s11202-008-0028-6
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: A. G. Kusraev, S. N. Tabuev, “Multiplicative representation of bilinear operators”, Sibirsk. Mat. Zh., 49:2 (2008), 357–366; Siberian Math. J., 49:2 (2008), 287–294
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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