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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 2, Pages 110–120
(Mi smj1678)
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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
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
Linking options:
https://www.mathnet.ru/eng/smj1678 https://www.mathnet.ru/eng/smj/v34/i2/p110
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