Almost commuting matrices with respect to the rank metric

Elek, Gabor and Grabowski, Łukasz (2021) Almost commuting matrices with respect to the rank metric. Groups, Geometry, and Dynamics, 15 (3). pp. 1059-1083. ISSN 1661-7207

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Official URL: https://doi.org/10.4171/GGD/623

Abstract

We show that if A1, A2, . . . , An are square matrices, each of them is either unitary or self-adjoint, and they almost commute with respect to the rank metric, then one can find commuting matrices B1, B2, . . ., Bn that are close to the matrices Ai in the rank metric.

Item Type:

Journal Article

Journal or Publication Title:

Groups, Geometry, and Dynamics

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2608

Subjects:

?? DISCRETE MATHEMATICS AND COMBINATORICSGEOMETRY AND TOPOLOGY ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

153599

Deposited By:

ep_importer_pure

Deposited On:

12 Apr 2021 15:20

Refereed?:

Yes

Published?:

Published

Last Modified:

20 Sep 2023 01:42

URI:

https://eprints.lancs.ac.uk/id/eprint/153599