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Izv. Saratov Univ. Math. Mech. Inform., 2012, Volume 12, Issue 1, Pages 29–32 (Mi isu277)  

Mathematics

About numerical range of semigroup's generator

M. Yu. Romanova

Voronezh State University, Chair of Mathematical Methods of Operational Research

Abstract: In the article the semigroup is built. The numerical range of its generator covers complex plane. It is provided that such semigroup is bounded.

Key words: semigroup of operators, generator of semigroup, numerical range of operator, resolvent of operator.

DOI: https://doi.org/10.18500/1816-9791-2012-12-1-29-32

Full text: PDF file (128 kB)
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Bibliographic databases:

UDC: 517.9

Citation: M. Yu. Romanova, “About numerical range of semigroup's generator”, Izv. Saratov Univ. Math. Mech. Inform., 12:1 (2012), 29–32

Citation in format AMSBIB
\Bibitem{Rom12}
\by M.~Yu.~Romanova
\paper About numerical range of semigroup's generator
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 1
\pages 29--32
\mathnet{http://mi.mathnet.ru/isu277}
\crossref{https://doi.org/10.18500/1816-9791-2012-12-1-29-32}
\elib{https://elibrary.ru/item.asp?id=17574795}


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  • Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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