Geodesic
On Invertible Contractions of Quotients Generated by a Differential Expression and by a Nonnegative Operator Function
Matematičeskie zametki, Tome 82 (2007) no. 5, pp. 652-664.

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In the present paper, we describe invertible contractions of the maximal quotient generated by a differential expression with bounded operator coefficients and by a nonnegative operator function. We show that the operators inverse to such contractions are integral operators and prove a criterion for such operators to be holomorphic. Using the results obtained, we describe the generalized resolvents of symmetric quotients.
Mots-clés : invertible contraction
Keywords: integral operator, holomorphic operator, operator function, Hilbert space, self-adjoint operator, Borel measurable function. 
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V. M. Bruk. On Invertible Contractions of Quotients Generated by a Differential Expression and by a Nonnegative Operator Function. Matematičeskie zametki, Tome 82 (2007) no. 5, pp. 652-664. http://geodesic.mathdoc.fr/item/MZM_2007_82_5_a1/

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