RUS  ENG
Full version
JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

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.

UDC: 517.9

DOI: 10.18500/1816-9791-2012-12-1-29-32



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025