| Integrals, conditional expectations, and martingales of multivalued functions F Hiai, H Umegaki Journal of Multivariate Analysis 7 (1), 149-182, 1977 | 929 | 1977 |
| The semicircle law, free random variables and entropy F Hiai, D Petz American Mathematical Soc., 2000 | 798 | 2000 |
| The proper formula for relative entropy and its asymptotics in quantum probability F Hiai, D Petz Communications in mathematical physics 143, 99-114, 1991 | 519 | 1991 |
| Log majorization and complementary Golden-Thompson type inequalities T Ando, F Hiai Linear Algebra and its Applications 197, 113-131, 1994 | 279 | 1994 |
| Introduction to matrix analysis and applications F Hiai, D Petz Springer Science & Business Media, 2014 | 248 | 2014 |
| Quantum f-divergences and error correction F Hiai, M Mosonyi, D Petz, C Bény Reviews in Mathematical Physics 23 (07), 691-747, 2011 | 178 | 2011 |
| Matrix analysis: matrix monotone functions, matrix means, and majorization F Hiai Interdisciplinary Information Sciences 16 (2), 139-248, 2010 | 174 | 2010 |
| The Golden-Thompson trace inequality is complemented F Hiai, D Petz Linear algebra and its applications 181, 153-185, 1993 | 143 | 1993 |
| Minimizing indices of conditional expectations onto a subfactor F Hiai Publications of the Research Institute for Mathematical Sciences 24 (4), 673-678, 1988 | 142 | 1988 |
| On the quantum Rényi relative entropies and related capacity formulas M Mosonyi, F Hiai IEEE Transactions on Information Theory 57 (4), 2474-2487, 2011 | 138 | 2011 |
| Sufficiency, KMS condition and relative entropy in von Neumann algebras F Hiai, M Ohya, M Tsukada Pacific Journal of Mathematics 96 (1), 99-109, 1981 | 137 | 1981 |
| Convergence of conditional expectations and strong laws of large numbers for multivalued random variables F Hiai Transactions of the American Mathematical Society 291 (2), 613-627, 1985 | 126 | 1985 |
| Means of Hilbert space operators F Hiai, H Kosaki Springer Science & Business Media, 2002 | 120 | 2002 |
| Operator log-convex functions and operator means T Ando, F Hiai Mathematische Annalen 350, 611-630, 2011 | 118 | 2011 |
| Means for matrices and comparison of their norms F Hiai, H Kosaki Indiana University Mathematics Journal, 899-936, 1999 | 113 | 1999 |
| Radon-Nikodym theorems for set-valued measures F Hiai Journal of Multivariate Analysis 8 (1), 96-118, 1978 | 103 | 1978 |
| Asymptotic freeness almost everywhere for random matrices F Hiai, D Petz University of Aarhus. Centre for Mathematical Physics and Stochastics …, 1999 | 102 | 1999 |
| Riemannian metrics on positive definite matrices related to means F Hiai, D Petz Linear Algebra and its Applications 430 (11-12), 3105-3130, 2009 | 100 | 2009 |
| Log-majorizations and norm inequalities for exponential operators F Hiai Banach Center Publications 38 (1), 119-181, 1997 | 100 | 1997 |
| Different quantum -divergences and the reversibility of quantum operations F Hiai, M Mosonyi Reviews in Mathematical Physics 29 (07), 1750023, 2017 | 87 | 2017 |
Milan MosonyiAssociate Professor at the Budapest University of Technology and EconomicsVerified email at math.bme.hu
