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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 2, Pages 110–120 (Mi smj1678)  

This article is cited in 2 scientific papers (total in 2 papers)

The moment problem in $K_\sigma$-space

S. A. Malyugin
Abstract: Hamburger's moment problem is considered for a sequence of vectors in some $K_\sigma$-space ($=\sigma$ complete vector lattice). The decomposition of $K_\sigma$-space in the band of nonuniqueness and the band in which a solution is unique is obtained. For any element in the Weyl–Hamburger vector circle, a respective solution to the moment problem is constructed. The solution is constructed by extension of a positive operator according to the modified Riesz–Kantorovich method.
Received: 16.10.1991
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 2, Pages 297–306
DOI: https://doi.org/10.1007/BF00970955
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: S. A. Malyugin, “The moment problem in $K_\sigma$-space”, Sibirsk. Mat. Zh., 34:2 (1993), 110–120; Siberian Math. J., 34:2 (1993), 297–306
Citation in format AMSBIB
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\by S.~A.~Malyugin
\paper The moment problem in $K_\sigma$-space
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 2
\pages 110--120
\mathnet{http://mi.mathnet.ru/smj1678}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1223760}
\zmath{https://zbmath.org/?q=an:0834.44007}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 2
\pages 297--306
\crossref{https://doi.org/10.1007/BF00970955}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LK58100011}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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