Geodesic
Extensions and generalized resolvents of closed dissipative operators
Matematičeskie zametki, Tome 16 (1974) no. 1, pp. 117-127 
V. I. Utkin. Extensions and generalized resolvents of closed dissipative operators. Matematičeskie zametki, Tome 16 (1974) no. 1, pp. 117-127. http://geodesic.mathdoc.fr/item/MZM_1974_16_1_a13/
@article{MZM_1974_16_1_a13,
     author = {V. I. Utkin},
     title = {Extensions and generalized resolvents of closed dissipative operators},
     journal = {Matemati\v{c}eskie zametki},
     pages = {117--127},
     year = {1974},
     volume = {16},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_1_a13/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $B$ be a closed dissipative operator in a Hilbert space $\mathscr H$ with an arbitrary domain of definition. We investigate briefly the problem of describing all the closed (and, in particular, the closed maximal) dissipative extensions $\widetilde B$ of the operator $B$. Following this we introduce the concept of a generalized resolvent of a closed dissipative operator with an arbitrary domain of definition, and we study the fundamental properties of generalized resolvents.