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On approximate versions of reducibility results for matrix groups and semigroups

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Publication:2002688
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DOI10.1016/j.laa.2019.04.019zbMath1418.15016OpenAlexW2939997193MaRDI QIDQ2002688

Mitja Mastnak, Matjaž Omladič, Bojan Kuzma, Heydar Radjavi

Publication date: 12 July 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2019.04.019


zbMATH Keywords

reducibilitysemigroupunitary groupHausdorff topologypartial isometry


Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Algebraic systems of matrices (15A30) Compact groups (22C05)




Cites Work

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  • Structure of finite, minimal nonabelian groups and triangularization.
  • Simultaneous triangularization
  • Semigroups of partial isometries
  • Families of induced representations
  • A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-Hausdorff Space
  • A Trace Condition Equivalent to Simultaneous Triangularizability
  • How small can nonzero commutators be?
  • Approximate permutability of traces on semigroups of matrices


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