About Silchenko operators semigroup

Chshiev A. G.
Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 4.

Abstract:
We consider a class of operator semigroups with integrable singularity at the origin and nondense image. Our approach is based on using the linear relations as the generators of semigroup. The existence of a~base generator is proved and a representation of the resolvent of the base generator is also obtained.

Keywords: semigroup of operators, generator of the semigroup, linear relation

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