Characterizations of matrix and operator-valued Φ-entropies, and operator Efron–Stein inequalities

DOI10.1098/rspa.2015.0563zbMath1371.60016arXiv1602.00233OpenAlexW3104815929WikidataQ51355262 ScholiaQ51355262MaRDI QIDQ5363522

Hao-Chung Cheng, Min-Hsiu Hsieh

Publication date: 29 September 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00233

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Random matrices (probabilistic aspects) (60B20)

Related Items (6)

Exponential decay of matrix Φ-entropies on Markov semigroups with applications to dynamical evolutions of quantum ensembles ⋮ Matrix Poincaré, Φ-Sobolev inequalities, and quantum ensembles ⋮ From Poincaré inequalities to nonlinear matrix concentration ⋮ Nonlinear matrix concentration via semigroup methods ⋮ Scalar Poincaré implies matrix Poincaré ⋮ Matrix Poincaré inequalities and concentration

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