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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 503, Pages 5–21 (Mi znsl7098)  

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
References:
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.
Funding agency Grant number
Russian Science Foundation 18-11-00053
Received: 19.07.2021
Document Type: Article
UDC: 517.98
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Ale21}
\by A.~B.~Aleksandrov
\paper On the operator Lipschitz norm of the functions $z^n$ on a finite set of the unit circle
\inbook Investigations on linear operators and function theory. Part~49
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 503
\pages 5--21
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7098}
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