Geodesic
Minimal extension of a pseudoresolvent
Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 95-99 
E. V. Cheremnikh. Minimal extension of a pseudoresolvent. Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 95-99. http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a11/
@article{MZM_1973_14_1_a11,
     author = {E. V. Cheremnikh},
     title = {Minimal extension of a~pseudoresolvent},
     journal = {Matemati\v{c}eskie zametki},
     pages = {95--99},
     year = {1973},
     volume = {14},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a11/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In a Hilbert space we consider a pseudoresolvent whose range is the whole space. We introduce a set of associated operators which are compatible with the pseudoresolvent in the same way that an operator is compatible with its resolvent. For each associated operator we construct an extension whose resolvent is an extension of the pseudoresolvent and is minimal in a certain sense.