• Corpus ID: 1453

New Perspectives and some Celebrated Quantum Inequalities

@article{Effros2008NewPA,
  title={New Perspectives and some Celebrated Quantum Inequalities},
  author={Edward G. Effros},
  journal={ArXiv},
  year={2008},
  volume={abs/0802.0006}
}
  • E. Effros
  • Published 31 January 2008
  • Mathematics
  • ArXiv
Some of the important inequalities associated with quantum entropy are immediate algebraic consequences of the Hansen-Pedersen-Jensen inequality. A general argument is given in terms of the matrix perspective of an operator convex function. A matrix analogue of Mar\'{e}chal's extended perspectives provides additional inequalities, including a $p+q\leq 1$ result of Lieb. 
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