Geodesic
To the theory of infinitely differentiable semigroups of operators
Algebra i analiz, Tome 22 (2010) no. 2, pp. 1-13.

Voir la notice de l'article provenant de la source Math-Net.Ru

Given a linear relation (multivalued linear operator) with certain growth restrictions on the resolvent, an infinitely differentiable semigroup of operators is constructed. It is shown that the initial linear relation is a generator of this semigroup. The results obtained are intimately related to certain results in the monograph “Functional analysis and semi-groups” by Hille and Phillips.
Keywords: linear relation, infinitely differentiable semigroup of operators, generator of a semigroup, resolvent set. 
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M. S. Bichegkuev. To the theory of infinitely differentiable semigroups of operators. Algebra i analiz, Tome 22 (2010) no. 2, pp. 1-13. http://geodesic.mathdoc.fr/item/AA_2010_22_2_a0/

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