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arXiv · 2207.04824

M-Accretive Realisations of Skew-Symmetric Operators

Rainer Picard·Sascha Trostorff
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Abstract

We consider skew-symmetric operators $A_{0}$ on a Hilbert space $H$ and characterise all (nonlinear) m-accretive restrictions of $A:=-A_{0}^{\ast}$ in terms of the "deficiency spaces" $\ker(1\pm A)$. The results are illustrated by several examples and applied to a partial differential equation with an impedance type boundary condition.

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Rainer Picard, Sascha Trostorff. 2022-07-11. M-Accretive Realisations of Skew-Symmetric Operators. https://arxiv.org/abs/2207.04824

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