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Bulletin of Irkutsk State University. Series Mathematics, 2018, Volume 24, Pages 102–108
DOI: https://doi.org/10.26516/1997-7670.2018.24.102 (Mi iigum341) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Short Papers

On the numerical range and numerical radius of the Volterra operator

L. Khadkhuua, D. Tsedenbayarb

a National University of Mongolia, Ulaanbaatar, Mongolia
b Mongolian University of Science and Technology, Ulaanbaatar, Mongolia
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DOI: https://doi.org/10.26516/1997-7670.2018.24.102
Abstract: In this paper, we investigated the numerical range and the numerical radius of the classical Volterra operator on the complex space $L^2[0,1]$. In particular, we determined the numerical range, the numerical radius of real and imaginary part of the Volterra operator.
Keywords: Volterra operator, numerical range, numerical radius.
Received: 26.04.2018
Bibliographic databases:
Document Type: Article
UDC: 517.98
MSC: 47A10, 47A30
Language: English
Citation: L. Khadkhuu, D. Tsedenbayar, “On the numerical range and numerical radius of the Volterra operator”, Bulletin of Irkutsk State University. Series Mathematics, 24 (2018), 102–108
Citation in format AMSBIB
\Bibitem{KhaTse18}
\by L.~Khadkhuu, D.~Tsedenbayar
\paper On the numerical range and numerical radius of the Volterra operator
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2018
\vol 24
\pages 102--108
\mathnet{http://mi.mathnet.ru/iigum341}
\crossref{https://doi.org/10.26516/1997-7670.2018.24.102}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000476651200008}
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  • https://www.mathnet.ru/eng/iigum/v24/p102
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :105
    References:23
     
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