Geodesic
Perturbation of the self-adjoint operator by the subordinated symmetric operator.
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 17, Tome 147 (1985), pp. 196-198 Cet article a éte moissonné depuis la source Math-Net.Ru

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The following variant of the Rellich's theorem is proved. Let $A$, $B$ be the operators in some Hilbert space, $A=A^\ast$, $B\subset B^\ast$ and $D(B)\supset D(A)$. Let us suppose that, with some $\gamma>-1$, $(Bu,u)\geq\gamma(Au,u)$, $\forall u\in D(A)$. Then the operator $A+B$ is self-adjoint on the domain $D(A)$. 
@article{ZNSL_1985_147_a17,
     author = {S. A. Yakubov},
     title = {Perturbation of the self-adjoint operator by the subordinated symmetric operator.},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {196--198},
     year = {1985},
     volume = {147},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_147_a17/}
}
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S. A. Yakubov. Perturbation of the self-adjoint operator by the subordinated symmetric operator.. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 17, Tome 147 (1985), pp. 196-198. http://geodesic.mathdoc.fr/item/ZNSL_1985_147_a17/