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M-Accretivity via Boundary Systems

2023/11/16 by Sascha Trostorff, Trostorff, Sascha · 1 citation
Mathematics · #47H06 #47N20 #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2311.09837

openalex publication_date 2023/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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