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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2015, Issue 1(22), Pages 48–52 (Mi pfmt355)  

MATHEMATICS

Estimation of resolvents for discrete weighted shift operators

A. B. Antonevich, Ali A. Shukur

Belarusian State University, Minsk, Belarus
References:
Abstract: A lower estimation for the norm of a resolvent operator, the spectrum of which is a unite circle is considered. It is shown that for arbitrary function $\varphi(\lambda)$, that is analytic on a unit circle, there exist an operator such that its resolvent norm is greater than $|\varphi(\lambda)|$.
Keywords: resolvent, discrete weighted shift operator.
Received: 01.07.2014
Document Type: Article
UDC: 517.984
Language: Russian
Citation: A. B. Antonevich, Ali A. Shukur, “Estimation of resolvents for discrete weighted shift operators”, PFMT, 2015, no. 1(22), 48–52
Citation in format AMSBIB
\Bibitem{AntShu15}
\by A.~B.~Antonevich, Ali~A.~Shukur
\paper Estimation of resolvents for discrete weighted shift operators
\jour PFMT
\yr 2015
\issue 1(22)
\pages 48--52
\mathnet{http://mi.mathnet.ru/pfmt355}
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  • https://www.mathnet.ru/eng/pfmt/y2015/i1/p48
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    Проблемы физики, математики и техники
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