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Matematicheskie Zametki, 2016, Volume 100, Issue 1, Pages 155–162
DOI: https://doi.org/10.4213/mzm11128 (Mi mzm11128) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Spectral Radius of Functional Operators

A. P. Soldatov

National Research University "Belgorod State University"
Full-text PDF (433 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm11128
Abstract: An estimate of the spectral radius of functional operators generated by operators of multiplication and shift operators in the space of continuous vector functions on the interval is given. It is assumed that shifts have fixed points only at both ends of the interval and belong to one type, i.e., they are either left or right shifts.
Keywords: spectral radius, shift operator, functional operator, weighted Hölder space, weighted Lebesgue space, shift.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 3492.GF4
This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan (grant no. 3492.GF4).
Received: 02.09.2015
English version:
Mathematical Notes, 2016, Volume 100, Issue 1, Pages 132–138
DOI: https://doi.org/10.1134/S0001434616070129
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. P. Soldatov, “On the Spectral Radius of Functional Operators”, Mat. Zametki, 100:1 (2016), 155–162; Math. Notes, 100:1 (2016), 132–138
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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