Families of Annihilating Skew-Selfadjoint Operators and their Connection to Hilbert Complexes

Fuente: arXiv
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Autores principales: Pauly, Dirk, Picard, Rainer
Formato: Preprint
Publicado: 2023
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author Pauly, Dirk
Picard, Rainer
author_facet Pauly, Dirk
Picard, Rainer
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2307_00946
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Families of Annihilating Skew-Selfadjoint Operators and their Connection to Hilbert Complexes
Pauly, Dirk
Picard, Rainer
Functional Analysis
Mathematical Physics
Analysis of PDEs
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.
title Families of Annihilating Skew-Selfadjoint Operators and their Connection to Hilbert Complexes
topic Functional Analysis
Mathematical Physics
Analysis of PDEs
url https://arxiv.org/abs/2307.00946