Families of Annihilating Skew-Selfadjoint Operators and their Connection to Hilbert Complexes
Functional Analysis
2024-07-25 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
In this short note we show that Hilbert complexes are strongly related to what we shall call annihilating sets of skew-selfadjoint operators. This provides for a new perspective on the classical topic of Hilbert complexes viewed as families of commuting normal operators.
Keywords
Cite
@article{arxiv.2307.00946,
title = {Families of Annihilating Skew-Selfadjoint Operators and their Connection to Hilbert Complexes},
author = {Dirk Pauly and Rainer Picard},
journal= {arXiv preprint arXiv:2307.00946},
year = {2024}
}
Comments
Key words and phrases: Hilbert complexes, de Rham complex, elasticity complex, biharmonic complex, factorisation of hyperbolic problems