Geodesic
Almost commuting matrices with respect to the rank metric
Gábor Elek1 orcid ; Łukasz Grabowski1
1Lancaster University, UK
Groups, geometry, and dynamics, Tome 15 (2021) no. 3, pp. 1059-1083

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DOI

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.
DOI : 10.4171/ggd/623
Classification : 13-XX, 15-XX
Mots-clés : Rank metric, almost-commuting matrices, stability problems

Gábor Elek  1   ; Łukasz Grabowski  1

1 Lancaster University, UK 
Gábor Elek; Łukasz Grabowski. Almost commuting matrices with respect to the rank metric. Groups, geometry, and dynamics, Tome 15 (2021) no. 3, pp. 1059-1083. doi: 10.4171/ggd/623
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     title = {Almost commuting matrices with respect to the rank metric},
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     pages = {1059--1083},
     year = {2021},
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     number = {3},
     doi = {10.4171/ggd/623},
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