HIAI Fumio

J-GLOBAL         Last updated: Jul 31, 2012 at 11:03
 

Research Areas

 
 

Academic & Professional Experience

 
 
   
 
Professor, Tohoku University Graduate School of Information Sciences, Department of System Information Sciences
 
1990
 - 
1998
Ibaraki University, Professor
 
1985
 - 
1990
Hokkaido University, Assistant Professor
 
1984
 - 
1985
Science University of Tokyo, Assistant Professor
 
1976
 - 
1984
Science University of Tokyo, Lecturer
 

Education

 
 
 - 
1975
Graduate School, Division of Natural Science, Tokyo Institute of Technology
 
 
 - 
1970
Faculty of Science, Tokyo Institute of Technology
 

Misc

 
Operator means and their norms
F. Hiai and H. Kosaki
Advanced Studies in Pure Mathematics, H. Kosaki (ed.),Mathematical Society of Japan   38 271-284   2004
Integrals, conditional expectations, and martingales of multivalued functions
F. Hiai and H. Umegaki
J. Multivariate Analysis   7 149-182   1977
Random matrices and free probability theory
F. Hiai and Y. Ueda
Invitation to Mathematical Physics,Yuseisha   6 121-147   2006
Minimizing indices of conditional expectations onto a subfactor
F. Hiai
Publ. Res. Inst. Math. Sci.   24 673-678   1988
Orbital approach to free entropy and free entropy dimension
F. Hiai
Surikaisekiken-Kokyuroku   1534 51-66   2007

Books etc

 
Introduction to Operator Algebras
共立出版   1985   
Hilbert Spaces and Linear Operators
牧野書店   1995   
The Semicircle Law, Free Random Variables and Entropy
Amer. Math. Soc.   2000   
Means of Hilbert Space Operators (Lecture Notes in Mathematics, Vol. 1820)
Springer-Verlag   2003   

Conference Activities & Talks

 
Jensen and Minkowski type inequalities for operator means (joint work with J.-C. Bourin)
14th Workshop "Non-commutative Harmonic Analysis"   2011   
Free energy density in one-dimensional spin chains
Summer school on "Non-equilibrium statistical mechanics"   2011   
Generalizing Minkowski's determinantal inequality (joint work with J.-C. Bourin)
International Conference "Product Systems and Independence in Quantum Dynamics"   2011   
Convexity of quasi-entropy type functions: Lieb's and Ando's convexity theorems revisited
The 6th Jikji Workshop: Infinite Dimensional Analysis and Quantum Probability   2011   
Operator log-convexity and its applications
Program: Quantum Information Theory   2010   

Works

 
量子情報理論と量子確率論の新展開
2008 - 2010
自由確率論とランダム行列 -- 新しい情報数理に向けて
2004 - 2006

Research Grants & Projects

 
Operator algebra
Project Year: 1980   
Operator theory
Project Year: 1987   
Noncommutative probability theory
Project Year: 1980