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A note on the arithmetic-geometric mean inequality for every unitarily invariant matrix norm

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Publication:1336408
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DOI10.1016/0024-3795(94)90439-1zbMath0806.15017OpenAlexW2059708753MaRDI QIDQ1336408

Takayuki Furuta

Publication date: 13 February 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90439-1


zbMATH Keywords

arithmetic-geometric mean inequalityHeinz inequalitymatrix norm inequalities


Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)


Related Items

Geometric operator inequalities



Cites Work

  • A note on the arithmetic-geometric-mean inequality for matrices
  • Beiträge zur Störungstheorie der Spektralzerlegung
  • Note on a Theorem of Fuglede and Putnam
  • More Matrix Forms of the Arithmetic-Geometric Mean Inequality
  • Norm Inequalities Equivalent to Heinz Inequality
  • An operator inequality
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