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Sbornik: Mathematics, 2016, Volume 207, Issue 4, Pages 519–536
DOI: https://doi.org/10.1070/SM8543
(Mi sm8543)
 

This article is cited in 4 scientific papers (total in 4 papers)

Geometric and operator measures of degeneracy for the set of solutions to the Stieltjes matrix moment problem

Yu. M. Dyukarev

V. N. Karazin Kharkiv National University, Ukraine
References:
Abstract: The ranks of the limit Weyl intervals are known to serve as the geometric measure of degeneracy of the solution set to a Stieltjes matrix moment problem. This paper puts forward the first operator measure of degeneracy for the solution set to a Stieltjes matrix moment problem in terms of the deficiency vectors of a pair of associated positive symmetric operators. A relationship between the geometric and operator measures of degeneracy for a Stieltjes matrix moment problem is established, from which some corollaries about the Stieltjes matrix moment problem are obtained.
Bibliography 19 titles.
Keywords: the Stieltjes matrix moment problem, Weyl intervals, Weyl discs, symmetric operators, deficiency vectors.
Received: 20.05.2015
Bibliographic databases:
Document Type: Article
UDC: 517.518.88
MSC: 47A53
Language: English
Original paper language: Russian
Citation: Yu. M. Dyukarev, “Geometric and operator measures of degeneracy for the set of solutions to the Stieltjes matrix moment problem”, Sb. Math., 207:4 (2016), 519–536
Citation in format AMSBIB
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\by Yu.~M.~Dyukarev
\paper Geometric and operator measures of degeneracy for the set of solutions to the Stieltjes matrix moment problem
\jour Sb. Math.
\yr 2016
\vol 207
\issue 4
\pages 519--536
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Linking options:
  • https://www.mathnet.ru/eng/sm8543
  • https://doi.org/10.1070/SM8543
  • https://www.mathnet.ru/eng/sm/v207/i4/p47
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
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    Abstract page:428
    Russian version PDF:73
    English version PDF:14
    References:65
    First page:23
     
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