Geodesic
On the class of semigroups of linear bounded operators
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 4, pp. 1177-1186 
Yu. T. Sil'chenko. On the class of semigroups of linear bounded operators. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 4, pp. 1177-1186. http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a11/
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     author = {Yu. T. Sil'chenko},
     title = {On the~class of semigroups of linear bounded operators},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1177--1186},
     year = {2001},
     volume = {7},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a11/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The semigroup of linear bounded operators admitting a singularity not connected with a singularity of the derivative of the semigroup is considered, where the generator of the semigroup may have non-dense domain. Fractional powers of the generator are studied and the theorem of Cauchy problem solvability for the differential equation with an operator coefficient is given.