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2017
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In this paper, we describe the maximal dissipative correct restrictions (extensions) of the maximal (minimal) operator generated by the Sturm-Liouville operator when the minimal operator is not symmetric. It is proved that they have systems of eigenvectors and associated vectors which form a Riesz basis with brackets. It is shown that the dissipative correct restrictions of the maximal operator are not necessarily extensions of the minimal operator.