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math.AGFeb 16, 2010
28
citations (OpenAlex)
authors
  • Lev Glebsky
arXiv abstractPDF
paper

Almost commuting matrices with respect to normalized Hilbert-Schmidt norm

arXiv:1002.3082

Abstract

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

11 pages

References in corpus (1)

  • Making Almost Commuting Matrices Commute

Cited by in corpus (12)

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  • Misanthropic Entropy and Renormalization as a Communication Channel
  • Stability of group relations under small Hilbert-Schmidt perturbations
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  • Almost-commuting matrices are almost jointly diagonalizable
  • Logic for metric structures and the number of universal sofic and hyperlinear groups
  • Tracial stability for C*-algebras
  • Almost commuting matrices and stability for product groups
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