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Funktsional'nyi Analiz i ego Prilozheniya, 2001, Volume 35, Issue 4, Pages 32–37
DOI: https://doi.org/10.4213/faa271 (Mi faa271) 		 
This article is cited in 35 scientific papers (total in 36 papers)

Complete Indefiniteness Tests for Jacobi Matrices with Matrix Entries

A. G. Kostyuchenko, K. A. Mirzoev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (104 kB) Citations (36)
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DOI: https://doi.org/10.4213/faa271
Abstract: We study the problem concerning the maximality of the deficiency indices of operators generated by symmetric Jacobi matrices with matrix entries in the space $l_2$. Effective conditions for the maximality of the deficiency indices are given in terms of entries of the Jacobi matrix. These conditions are new even in the scalar (one-dimensional) case.
Received: 16.08.2001
English version:
Functional Analysis and Its Applications, 2001, Volume 35, Issue 4, Pages 265–269
DOI: https://doi.org/10.1023/A:1013174423473
Bibliographic databases:
Document Type: Article
UDC: 517.94+517.929
Language: Russian
Citation: A. G. Kostyuchenko, K. A. Mirzoev, “Complete Indefiniteness Tests for Jacobi Matrices with Matrix Entries”, Funktsional. Anal. i Prilozhen., 35:4 (2001), 32–37; Funct. Anal. Appl., 35:4 (2001), 265–269
Citation in format AMSBIB
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    • This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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