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. ISSN 1661-7207 (In Press)

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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:
ID Code:
153599
Deposited By:
Deposited On:
12 Apr 2021 15:20
Refereed?:
Yes
Published?:
In Press
Last Modified:
10 May 2021 00:03