Geodesic
Degenerate $C$-distribution semigroups in locally convex spaces
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 41 (2016) no. 1 
Marko Kostić; Stevan Plipović; Daniel Velinov. Degenerate $C$-distribution semigroups in locally convex spaces. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 41 (2016) no. 1. http://geodesic.mathdoc.fr/item/BASS_2016_41_1_a4/
@article{BASS_2016_41_1_a4,
     author = {Marko Kosti\'c and Stevan Plipovi\'c and Daniel Velinov},
     title = {Degenerate $C$-distribution semigroups in locally convex spaces},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {101 - 123},
     year = {2016},
     volume = {41},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BASS_2016_41_1_a4/}
}
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Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The main purpose of this paper is to investigate degenerate $C$-distribution semigroups in the setting of barreled sequentially complete locally convex spaces. In our approach, the infinitesimal generator of a degenerate $C$-distribution semigroup is a multivalued linear operator and the regularizing operator $C$ is not necessarily injective. We provide a few important theoretical novelties, considering also exponential subclasses of degenerate $C$-distribution semigroups.