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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.
Citation:
M. Yu. Romanova, “About numerical range of semigroup's generator”, Izv. Saratov Univ. Math. Mech. Inform., 12:1 (2012), 29–32
Linking options:
https://www.mathnet.ru/eng/isu277 https://www.mathnet.ru/eng/isu/v12/i1/p29
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