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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2015, Issue 1(22), Pages 48–52
(Mi pfmt355)
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MATHEMATICS
Estimation of resolvents for discrete weighted shift operators
A. B. Antonevich, Ali A. Shukur Belarusian State University, Minsk, Belarus
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
Citation:
A. B. Antonevich, Ali A. Shukur, “Estimation of resolvents for discrete weighted shift operators”, PFMT, 2015, no. 1(22), 48–52
Linking options:
https://www.mathnet.ru/eng/pfmt355 https://www.mathnet.ru/eng/pfmt/y2015/i1/p48
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Abstract page: | 392 | Full-text PDF : | 151 | References: | 54 |
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