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

+ References

The sole copyright holder of the published work is the Founder of the Vladikavkaz Mathematical Journal. The terms of use of this work are governed by an open license (Creative Commons Attribution-NonCommercial 4.0 International). The use of metadata of the scientific article, including the title, abstract, author information, references, identifiers, and other bibliographic description elements for subsequent unrestricted use, is carried out under the terms of the CC BY or CC0 open licenses.