M-Accretive Realisations of Skew-Symmetric Operators

2022/07/11 by Rainer Picard, Picard, Rainer, Sascha Trostorff +1 · 1 citation
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in engineering #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2207.04824

openalex publication_date 2022/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider skew-symmetric operators A₀ on a Hilbert space H and characterise all (nonlinear) m-accretive restrictions of A:=-A₀^∗ in terms of the "deficiency spaces" ker(1± 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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