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Funktsional'nyi Analiz i ego Prilozheniya, 2009, Volume 43, Issue 1, Pages 81–84
DOI: https://doi.org/10.4213/faa2919 (Mi faa2919) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Brief communications

On the Similarity of a $J$-Nonnegative Sturm–Liouville Operator to a Self-Adjoint Operator

I. M. Karabash, A. S. Kostenko

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences, Donetsk
Full-text PDF (129 kB) Citations (9)
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DOI: https://doi.org/10.4213/faa2919
Abstract: In terms of Weyl–Titchmarsh $m$-functions, we obtain a new necessary condition for an indefinite Sturm–Liouville operator to be similar to a self-adjoint operator. This condition is used to construct examples of $J$-nonnegative Sturm–Liouville operators with singular critical point zero.
Keywords: $J$-nonnegative operator, critical point, similarity to a self-adjoint operator.
Received: 23.03.2007
English version:
Functional Analysis and Its Applications, 2009, Volume 43, Issue 1, Pages 65–68
DOI: https://doi.org/10.1007/s10688-009-0007-0
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: I. M. Karabash, A. S. Kostenko, “On the Similarity of a $J$-Nonnegative Sturm–Liouville Operator to a Self-Adjoint Operator”, Funktsional. Anal. i Prilozhen., 43:1 (2009), 81–84; Funct. Anal. Appl., 43:1 (2009), 65–68
Citation in format AMSBIB
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    • This publication is cited in the following 9 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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