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Young’s (in)equality for compact operators

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Publication:2809361
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DOI10.4064/sm8427-5-2016zbMath1353.47032arXiv1505.02267OpenAlexW2963369371MaRDI QIDQ2809361

Gabriel Larotonda

Publication date: 27 May 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02267


zbMATH Keywords

compact operatorYoung inequalityoperator idealsingular value equality


Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Inequalities involving eigenvalues and eigenvectors (15A42) Miscellaneous inequalities involving matrices (15A45)


Related Items

An extension for matrices of Young's inequality



Cites Work

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  • Matrix form of the inverse Young inequalities
  • Hölder and Young inequalities for the trace of operators
  • Jensen's inequality for operators and Loewner's theorem
  • Young's inequality in trace-class operators
  • Matrix Young inequalities for the Hilbert-Schmidt norm
  • Convergence in Trace Ideals
  • More on Convergence in Unitary Matrix Spaces
  • Equality cases in matrix norm inequalities of golden-thompson type


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