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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 503, Pages 5–21
(Mi znsl7098)
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On the operator Lipschitz norm of the functions $z^n$ on a finite set of the unit circle
A. B. Aleksandrov St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Abstract:
The paper contains some remarks concerning of the behavior of the operator Lipschitz norm of the functions $z^n$ on subsets of the unit circle. In particular, we prove that the operator Lipschitz norm of the restriction $z^n$ on a subset $\Lambda$ of the unit circle is equal to $|n|$ if and only if $\Lambda$ contains at least $2|n|$ elements.
Key words and phrases:
operator Lipschitz function.
Received: 19.07.2021
Citation:
A. B. Aleksandrov, “On the operator Lipschitz norm of the functions $z^n$ on a finite set of the unit circle”, Investigations on linear operators and function theory. Part 49, Zap. Nauchn. Sem. POMI, 503, POMI, St. Petersburg, 2021, 5–21
Linking options:
https://www.mathnet.ru/eng/znsl7098 https://www.mathnet.ru/eng/znsl/v503/p5
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Statistics & downloads: |
Abstract page: | 106 | Full-text PDF : | 27 | References: | 28 |
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