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Coboundary operators for infinite frameworks

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Coboundary operators for infinite frameworks. / Kastis, Eleftherios; Kitson, Derek; Power, Stephen.
In: Mathematical Proceedings of the Royal Irish Academy, Vol. 119A, No. 2, 04.11.2019, p. 93-110.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Kastis, E, Kitson, D & Power, S 2019, 'Coboundary operators for infinite frameworks', Mathematical Proceedings of the Royal Irish Academy, vol. 119A, no. 2, pp. 93-110. https://doi.org/10.3318/pria.2019.119.07

APA

Kastis, E., Kitson, D., & Power, S. (2019). Coboundary operators for infinite frameworks. Mathematical Proceedings of the Royal Irish Academy, 119A(2), 93-110. https://doi.org/10.3318/pria.2019.119.07

Vancouver

Kastis E, Kitson D, Power S. Coboundary operators for infinite frameworks. Mathematical Proceedings of the Royal Irish Academy. 2019 Nov 4;119A(2):93-110. doi: 10.3318/pria.2019.119.07

Author

Kastis, Eleftherios ; Kitson, Derek ; Power, Stephen. / Coboundary operators for infinite frameworks. In: Mathematical Proceedings of the Royal Irish Academy. 2019 ; Vol. 119A, No. 2. pp. 93-110.

Bibtex

@article{b82ddcf99229465ca0a240aa960f369b,
title = "Coboundary operators for infinite frameworks",
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?",
author = "Eleftherios Kastis and Derek Kitson and Stephen Power",
year = "2019",
month = nov,
day = "4",
doi = "10.3318/pria.2019.119.07",
language = "English",
volume = "119A",
pages = "93--110",
journal = "Mathematical Proceedings of the Royal Irish Academy",
issn = "1393-7197",
publisher = "Royal Irish Academy",
number = "2",

}

RIS

TY - JOUR

T1 - Coboundary operators for infinite frameworks

AU - Kastis, Eleftherios

AU - Kitson, Derek

AU - Power, Stephen

PY - 2019/11/4

Y1 - 2019/11/4

N2 - 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?

AB - 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?

U2 - 10.3318/pria.2019.119.07

DO - 10.3318/pria.2019.119.07

M3 - Journal article

VL - 119A

SP - 93

EP - 110

JO - Mathematical Proceedings of the Royal Irish Academy

JF - Mathematical Proceedings of the Royal Irish Academy

SN - 1393-7197

IS - 2

ER -