M-Accretive Realisations of Skew-Symmetric Operators

Rainer Picard; Sascha Trostorff

M-Accretive Realisations of Skew-Symmetric Operators

Functional Analysis 2022-07-13 v2 Analysis of PDEs

Authors: Rainer Picard , Sascha Trostorff

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.

Keywords

skew-symmetric operators m-accretive operators deficiency spaces Hilbert space partial differential equations impedance boundary condition

Cite

@article{arxiv.2207.04824,
  title  = {M-Accretive Realisations of Skew-Symmetric Operators},
  author = {Rainer Picard and Sascha Trostorff},
  journal= {arXiv preprint arXiv:2207.04824},
  year   = {2022}
}

Comments

Remark 5.4 was added

Related papers

View all related →