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Funktsional'nyi Analiz i ego Prilozheniya, 2017, Volume 51, Issue 4, Pages 84–89
DOI: https://doi.org/10.4213/faa3444 (Mi faa3444) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Conditions for invertibility and Hurwitz stability

A. I. Perov

Voronezh State University, Voronezh, Russia
Full-text PDF (139 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa3444
Abstract: In a generalization of Fiedler's theorem, a block condition for the invertibility of an operator and an estimate for the operator matrix of the inverse operator are presented. A block condition for an operator to be Hurwitz is also given, which contains an estimate of the spectral abscissa of the operator.
Keywords: Banach space, bounded linear operator, spectral abscissa, Lozinskii logarithmic norm, invertible operators and the block invertibility condition (Fiedler's theorem), Hurwitz operators and a block condition for Hurwitz stability.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00197
This work was supported by the Russian Foundation for Basic Research, project no. 16-01-00197.
Received: 06.05.2016
English version:
Functional Analysis and Its Applications, 2017, Volume 51, Issue 4, Pages 310–315
DOI: https://doi.org/10.1007/s10688-017-0198-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Perov, “Conditions for invertibility and Hurwitz stability”, Funktsional. Anal. i Prilozhen., 51:4 (2017), 84–89; Funct. Anal. Appl., 51:4 (2017), 310–315
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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