Almost commuting matrices with respect to normalized Hilbert-Schmidt norm

Lev Glebsky

Almost commuting matrices with respect to normalized Hilbert-Schmidt norm

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arxiv 1002.3082 v1 pith:LC5DTYJE submitted 2010-02-16 math.AG

Lev Glebsky This is my paper · ORCID

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keywords commutingmatricesalmosthilbert-schmidtnormnormalizedrespectalmost-commuting

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Almost-commuting matrices with respect to the normalized Hilbert-Schmidt norm are considered. Normal almost commuting matrices are proved to be near commuting.

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Polynomial Hilbert-Schmidt stability of the lamplighter group
math.GR 2026-07 conditional novelty 8.0 of 10 full

The lamplighter group has stability radius growth ⪯ r^21 and stability rate ≥ cκ^70, giving the first explicit polynomial Hilbert–Schmidt stability bounds for an infinitely presented group.

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