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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
English version PDF (516 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM8543
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
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 4, Pages 47–64
DOI: https://doi.org/10.4213/sm8543
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”, Mat. Sb., 207:4 (2016), 47–64; Sb. Math., 207:4 (2016), 519–536
Citation in format AMSBIB
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  • 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:420
    Russian version PDF:72
    English version PDF:10
    References:64
    First page:23
     
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