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Maximal and minimal triangular matrices

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Publication:722468
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DOI10.1007/s00025-018-0819-4zbMath1393.15014OpenAlexW2796466875MaRDI QIDQ722468

Roksana Słowik

Publication date: 23 July 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0819-4

zbMATH Keywords

centralizertriangular matrices


Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)




Cites Work

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  • The Jordan normal form of infinite matrices
  • Commutative matrix subalgebras and length function
  • Upper triangular similarity of upper triangular matrices
  • Representation of doubly infinite matrices as non-commutative Laurent series
  • Extremal matrix centralizers
  • On dominance and varieties of commuting matrices
  • Maps on infinite triangular matrices preserving idempotents
  • Commuting graphs and extremal centralizers
  • How and Why to Solve the Operator Equation AX −XB = Y
  • Constructing Maximal Commutative Subalgebras of Matrix Rings in Small Dimensions
  • Every infinite triangular matrix is similar to a generalized infinite Jordan matrix
  • Some Generalizations of Matrix Commutativity
  • Some Theorems on Commutative Matrices
  • A proof of a theorem on commutative matrices
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