In terms of spaces of boundary values, we formulate and prove criteria of maximal θ-accretivity and maximal nonnegativity for the proper extension of a closed nonnegative linear relation in a Hilbert space. In the case of differential operators, this directly leads to boundary conditions.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 63, No. 1, pp. 7–20, January–March, 2020.
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Storozh, О.H. Maximally Аccretive and Nonnegative Extensions of a Nonnegative Linear Relation. J Math Sci 270, 1–18 (2023). https://doi.org/10.1007/s10958-023-06329-w
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DOI: https://doi.org/10.1007/s10958-023-06329-w