We consider skew-symmetric operators on a Hilbert space and study m-accretive restrictions of their negative adjoints. Using the theory of boundary systems, we provide a full characterisation of all those m-accretive restrictions, linear and nonlinear ones. The result is then applied to port-Hamiltonian systems of arbitrary order.

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M-Accretivity via Boundary Systems

  • Sascha Trostorff

摘要

We consider skew-symmetric operators on a Hilbert space and study m-accretive restrictions of their negative adjoints. Using the theory of boundary systems, we provide a full characterisation of all those m-accretive restrictions, linear and nonlinear ones. The result is then applied to port-Hamiltonian systems of arbitrary order.