Electronic data
- Coboundary operators for infinite frameworks - KKP
Accepted author manuscript, 344 KB, PDF document
Available under license: CC BY: Creative Commons Attribution 4.0 International License
Links
- https://www.jstor.org/stable/10.3318/pria.2019.119.07
Final published version
Licence: CC BY: Creative Commons Attribution 4.0 International License
Text available via DOI:
Coboundary operators for infinite frameworks
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Published
| <mark>Journal publication date</mark> | 4/11/2019 |
|---|---|
| <mark>Journal</mark> | Mathematical Proceedings of the Royal Irish Academy |
| Issue number | 2 |
| Volume | 119A |
| Number of pages | 18 |
| Pages (from-to) | 93-110 |
| Publication Status | Published |
| <mark>Original language</mark> | English |
Abstract
We consider, from the point of view of operator theory, a class of infinite matrices in which the matrix entries are determined by an underlying graph structure with accompanying geometric data. This class includes the rigidity matrices of infinite bar-joint frameworks as well as the incidence matrices of infinite directed graphs. We consider the following questions: When do these matrices give rise to bounded operators? Can we compute the operator norm? When are these operators compact? And when are they bounded below?