On extensions of symmetric operators

Namig Guliyev (1)

1 Institute of Mathematics and Mechanics

We give an explicit description of all minimal self-adjoint extensions of a densely defined, closed symmetric operator in a Hilbert space with deficiency indices (1,1).

Mots clés: generalized resolvent; symmetric operator; self-adjoint extension

Domaines: Analyse fonctionnelle [math.FA]; Théorie spectrale [math.SP]

Namig Guliyev. On extensions of symmetric operators. Operators and Matrices, 2020, 14 (1), pp.71-75. ⟨10.7153/oam-2020-14-05⟩. ⟨hal-01852568⟩