M-Accretive Realisations of Skew-Symmetric Operators

preprint2022arXivOpen access

Abstract

We consider skew-symmetric operators A0A_{0} on a Hilbert space HH and characterise all (nonlinear) m-accretive restrictions of A:=−A0∗A:=-A_{0}^{\ast} in terms of the "deficiency spaces" ker⁡(1±A)\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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