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A note on a gap result for norms of semigroups of matrices

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Publication:865401
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DOI10.1016/j.laa.2006.05.005zbMath1112.15016OpenAlexW2028857593MaRDI QIDQ865401

Yung-Yih Lur

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.05.005


zbMATH Keywords

eigenvaluesgeneralized spectral radiusjoint spectral radiussemigroups of matricesmatrix norm


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Algebraic systems of matrices (15A30)


Related Items (1)

Chaotic behavior of discrete-time linear inclusion dynamical systems



Cites Work

  • A gap result for the norms of semigroups of matrices
  • Asymptotic stability and generalized Gelfand spectral radius formula
  • Sets of matrices all infinite products of which converge
  • Bounded semigroups of matrices
  • Simultaneous Schur stability
  • The generalized spectral-radius theorem: An analytic-geometric proof
  • Unnamed Item


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