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  • 1708.05338

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Almost commuting matrices with respect to the rank metric

Research output: Contribution to journalJournal articlepeer-review

Forthcoming
<mark>Journal publication date</mark>1/04/2021
<mark>Journal</mark>Groups, Geometry, and Dynamics
Number of pages23
Publication StatusAccepted/In press
<mark>Original language</mark>English

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.