Corpus ID: 119161101

Completely strong superadditivity of generalized matrix functions

@article{Lin2014CompletelySS,
  title={Completely strong superadditivity of generalized matrix functions},
  author={M. Lin and S. Sra},
  journal={arXiv: Functional Analysis},
  year={2014}
}
  • M. Lin, S. Sra
  • Published 2014
  • Mathematics
  • arXiv: Functional Analysis
  • We prove that generalized matrix functions satisfy a block-matrix strong superadditivity inequality over the cone of positive semidefinite matrices. Our result extends a recent result of Paksoy-Turkmen-Zhang (V. Paksoy, R. Turkmen, F. Zhang, Inequalities of generalized matrix functions via tensor products, Electron. J. Linear Algebra 27 (2014) 332-341.). As an application, we obtain a short proof of a classical inequality of Thompson (1961) on block matrix determinants. 
    Inequalities on generalized matrix functions
    3
    Hlawka-Popoviciu inequalities on positive definite tensors
    7
    Non-linear positive maps between $C^*$-algebras
    UFIR-Parameteridentifikation in Echtzeit

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