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Some inequalities involving eigenvalues and positive linear maps

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Publication:6073339
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DOI10.1007/s43036-023-00271-zOpenAlexW4377088287MaRDI QIDQ6073339

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Publication date: 15 September 2023

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-023-00271-z

zbMATH Keywords

eigenvaluestracepositive linear mapsHermitian matrix


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04)




Cites Work

  • Unnamed Item
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  • Some inequalities for positive linear maps
  • Variance bounds, with an application to norm bounds for commutators
  • Bounds for eigenvalues using traces
  • Some inequalities related to eigenvalues
  • On inequalities involving eigenvalues and traces of Hermitian matrices
  • Standard deviation is a strongly Leibniz seminorm
  • A Better Bound on the Variance
  • More inequalities for positive linear maps
  • Grüss type inequalities for positive linear maps on C∗-algebras
  • Some inequalities involving positive linear maps under certain conditions
  • Positive Linear Maps and Spreads of Matrices
  • Positive linear maps and spreads of matrices. II
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