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Unitarily invariant norm inequalities for some means

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Publication:2405613
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DOI10.1186/1029-242X-2014-158zbMath1379.15012arXiv1402.2014OpenAlexW2111444145WikidataQ59396055 ScholiaQ59396055MaRDI QIDQ2405613

Shigeru Furuichi

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2014


zbMATH Keywords

logarithmic meannorm inequalityunitarily invariant normsymmetric homogeneous mean


Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Miscellaneous inequalities involving matrices (15A45)




Cites Work

  • Unnamed Item
  • Mean matrices and infinite divisibility
  • Comparison of various means for operators
  • Means of Hilbert space operators
  • Bounds of the logarithmic mean
  • Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
  • Positive definiteness of functions with applications to operator norm inequalities
  • Means for matrices and comparison of their norms


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